Space doesn't seem like a good place to build datacenters at all. Cooling is going to be an enormous issue, how do you disperse of heat in a vaccuum? Radiators are very ineffective for cooling.
Naturally the system needs energy, the sun giving radiation convertible to electricity should enable that.
Both parts are documented about ISS
https://en.wikipedia.org/wiki/Electrical_system_of_the_Inter...
That absence of particles also means it is a nearly perfect insulator, with almost no heat transferred from the station to space by contact with space. No convection either.
That leaves cooling by thermal radiation, which is not a very good method.