> In space, only radiation works

it's worse, incoming radiation also works to heat up objects that are in sunlight and in space. And you want to be in sunlight for the solar panels.

This is why surface of the moon is at temperatures of -120C when it's night and +120C when it's day there.

And the sun's radiation also flips bits.

Yes, it's technically possible to work around all of these. There are existing designs for radiators in the shade of the solar panels. Radiation shielding and/or resistant hardware. It's just not even close to economic at datacentre scale.