You really don't seem particularly bright. So I did the math, just to double check.

A 1 gigawatt datacenter radiating at 100C would need a square kilometer in radiator surface area to sufficiently reject/emit the heat.

But then you need energy. With solar panels you'd need 2-3 sq km to sustain 1 GW.

So.... The math checks out. I don't understand your arguments from ignorance.