I need to compute S(114514,100), which is a large Stirling number (see definition here)

I tried Mathematica, Maple, and Scipy (in python), but neither of these software managed to give the result in 10 hours. By an approximation formula, the number has about 231000 digits. I don’t know whether it is because my computer is not powerful enough or because this number is too large for any existing computer.

Is there any way I can possibly get the result?