Heard there aren't enough atoms in the observable universe to count the number of zeros in a googolplex. But what about in this scenario?

What if we tried to fill up the observable universe (now empty) with hydrogen atoms all side-by-side at absolute zero. Counting each atom as a zero, would the observable universe fill up to the brim before hitting the amount of zeros in a googolplex? If not, how large of a body would the hydrogen atoms create?