Highest exponent of x in the following expression

(1 + x)(1 + x + x^2)(1 + x + x^2 + x^3) ... (1 + x + x^2 + ... + x^100) when written in the ascending power of x the the highest exponent of x is ________?

...the highest power of x is:

x^(5050)

see Gauss !

qed

(1 + x)(1 + x + x^2)(1 + x + x^2 + x^3) ... (1 + x + x^2 + ... + x^100)
when written in the ascending power of x
the highest exponent of x is 100!
100! = 9.33262154439441×10^157

the highest exponent of x is
= x^ (1+2+3+ ..... +100)
= x^5050
because 1+2+3+ ..... +100
= 100/2 ( 1 + 100) ///// Sn = n/2 (a+ l)
= 50(101)
=5050