apparently atoms in the sun is just 10^57
There are estimated to be 70 billion trillion stars in the observable universe. That's 7*10^22

Multiply that by your number here, and we're at 7*10^79

Not even close to 10^120, which is many orders of magintude bigger. It's fucking ludicrous how big 10^120 is.

I figure that for every atom in the observable universe, there are a thousand billion billion billion different chess positions.