There would be some benefits, assuming you could do it for a reasonable cost. For one, you have effectively uninterruptible power using solar panels in space. And it's free, too, once you have the hardware in place.

And you don't have to deal with any of the site selection stuff you have for terrestrial data centers. No NIMBYs. No politicians trying to extort bribes. No water problems.

In space there are no earthquakes, tornadoes, or floods.

I'm still skeptical. It's hard to believe it costs so much to build a data center on the ground that putting it into orbit is an economically viable alternative.

Grokipedia would be way better launched into space.