I did a very rough calculation of how much energy it might take to launch a datacentre to low earth orbit, vs the power draw of such a datacentre.

For a ~1 tonne GPU LLM rack satellite consuming ~100kW the energy of the fuel (i.e. not including oxidiser, launcher and ground energy costs) needed to launch this into space alone is comparable to that required to run the datacentre for 3-10+ years even on a future Starship.

So my assumption is that this isn't a good idea.