Nikon S01 has a
10.0MP 1/2.9-inch (4.96 x 3.72 mm ) sized CCD sensor and features Expeed C2 processor. On the other hand, Nikon P1000 has a
16.0MP (1/2. ) sized BSI-CMOS sensor and features Nikon Expeed processor.
Nikon P1000's sensor provides 6MP more than Nikon S01's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the S01 and P1000 sensor size comparison.
As seen above, Nikon S01 has a infx Larger sensor area than Nikon P1000. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.