Hate to be that guy, but that is the estimated mass of the universe. What would the weight of the universe mean? The net gravitational force is identically equal to zero (ignoring cosmic expansion), but sum gravitational potential between all particles is perhaps more interesting ;)

Agreed with troll, weight is a relative measurement, not to mention when hypothesizing about the universe "before the big bang, all matter and energy is thought to be condensed in an "infinitely small and infinitely dense" particle, infinity meaning without end... but i'm probably mistaken somewhere with my logic.

There is a word I have never heard of before. I should think it would weigh more than that!?