Both Sony A6100 and Sony RX1R have 24.0 MP resolution sensors but Sony A6100's sensor is APS-C (23.5 x 15.6 mm ) and Sony RX1R's sensor is Full frame (35.8 x 23.9 mm ).
Since Sony RX1R's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Sony A6100.
One other difference between these two cameras that is worth mentioning is that Sony RX1R's sensor doesn't have an anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the A6100 and RX1R sensor size comparison.
Sensor Size and Resolution Comparison image of Sony A6100 and Sony RX1R Cameras
As seen above, Sony RX1R has a 2.3x Larger sensor area than Sony A6100. 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.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Sony A6100
or the
Sony RX1R ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(APS-C versus Full frame),
so compare them at the same framing rather than the same focal length.
Put the same focal length on the smaller sensor and it will show less depth of
field, not more, because it also crops tighter. The calculator shows the
full frame equivalent focal length for each body so you can match the framing.