[mrep]

Definitely not. Cooling datacenters is a major cost component and that gets way harder in space as you have to radiate it away and cannot use air/water as a heat sink. Add in repairing components that break and that'll likely never happen.

[avmich]

I'd be more concerned about space radiation. As for cooling, in space you have a lot of space, and each computation unit may get equipped with its own radiator tailored for its heat production, and you may spread datacenters across large areas, so they have enough cooling capacity.

Each solar panel produces a shade, which can be used to put a radiator into, and between the solar panel and the radiator we can put some specific amount of heat-producing computation units.