The next generation Starlink (V3) will have 250 square meters of solar panels per satellite, and they are planning on launching about 10,000 of them, so now you're at 2.5 million m^2 of panels or 100 times ISS.
All those satellites have their own radiators to manage heat. True, they lose some heat by beaming it to the ground, but data center satellites would just need proportionally larger radiators.
And, of course, all those satellite have CPUs and memory chips; they are already hardened to resist space radiation (or else they wouldn't function).
Almost every single objection to data centers in space has already been overcome at a smaller scale with Starlink. The only one that might apply is cost: if it's cheaper to build data centers on Earth, then space doesn't make sense (and it won't happen). But prices are always coming down in space, and prices on Earth keep going up (because of environmental restrictions).
Plus, environmental costs of data centers keep rising.