I also had the Nikon P330 in his sights, but had me for various reasons decided against it (eg. To store the images takes forever missing touch display, weaknesses in automatic exposure and white balance).
My first record comparison with the SX240 and the S110 has sobered me somewhat. Interior shots up to ISO 800 hardly any difference in quality. At ISO 1600 slightly less noise. Outside in good light anyway no difference. Portraits (eyes, skin color / structure), taking pictures of animals (fur), color, white balance, etc. No differences even at 100% view. However, I find the picture quality of the SX240 for a compact yet very well (in my opinion the best of the small mega zoom) and have not so far really disappointed. The weaknesses of the SX240 (very slowly between two images) shares the S110 luckily not, that's a real asset. The greater intensity of S110 can unfortunately only play a maximum of up to 50mm focal length (mm camera), because then the SX240 and the S110 meet with a maximum aperture of about 4.0. Thus, if the size does not matter and you have no problem with it, to wait between shots 1-2 sec., Then the SX240 would certainly be a better choice for half price and 4-fold higher zoom.
What I really like about the S110, is the ability to select with your finger the focus point on the touch display. The built-in neutral density filter with 3 stops is also a nice gimmick, but it comes with 3 levels of exposure in sunlight that's not very far (eg for longer exposure times), since the smallest aperture with 8 not exactly abundant fails. On the other hand cropping with maximum aperture not exactly a strength of the S110.
The S110 is primarily a beautiful toy with many options and faster reaction to always have, with it's fun to take pictures and the acceptable photos creates when you do not expect a DSLR level.
But compared with my Sony RX100 they can not keep up, unfortunately. As I had hoped for a smaller distance in the image quality due to the excellent reviews. The large sensor of the Sony simply has a much higher resolution at a lower pixel density, making it much brighter and has to my mind also a wider dynamic range. Up to ISO 3200, the Sony is basically noise-free. This corresponds to the quality of the S110 with ISO 40O. Also cropping of motive parts works with the Sony because of the larger sensor and the resulting longer focal lengths significantly better.The Sony is also much faster to focus the camera and save the images. The lens quality seems better in the Sony. I have done with two cameras shooting of groups with different focal lengths from 24 to 35 mm. The S110 distorted with 24-28mm people's faces at the edge of the fact that obviously aberrations of the objective lens to be corrected by the internal computer. The people at the edge looked so like cardboard figures. Not really bad, but annoying. With the Sony, you can still take pictures at 28 mm people on the screen without any distortion.
Conclusion is the picture quality only slightly above the level of the Megazoom compact from Canon. The strengths of the S110 are the small size, good adjustability and quick response.
Supplement May 2014: Meanwhile, I have the Pentax MX-1 and supplies with the same sensor size and also 12 MP to classes better shots - sometimes better than my Sony RX100 (see my review of MX-1). So it is not only because the sensor size, but probably mainly on the quality of the lens (and obviously Pentax also has a significantly lower-noise sensor installed). However, the lens quality is due to the smallness of the S110. For currently about 200 Euro seems to me the S110 is a good choice if you mainly want a fast and comprehensive manually adjustable tiny in your pocket and not have too high demands on sharpness and noise of the images presents. As far as one can see on Dkamera.de under image quality comparison, the S120 has unfortunately made no progress in this regard, insofar as you can save the extra cost well.