220120122100100 has 72 divisors (see below), whose sum is σ = 478032935574600. Its totient is φ = 87979440384000.

The previous prime is 220120122100091. The next prime is 220120122100111. The reversal of 220120122100100 is 1001221021022.

It can be written as a sum of positive squares in 12 ways, for example, as 42959975836996 + 177160146263104 = 6554386^2 + 13310152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474184246 + ... + 1474333554.

It is an arithmetic number, because the mean of its divisors is an integer number (6639346327425).

Almost surely, 2^{220120122100100} is an apocalyptic number.

220120122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120122100100 is an abundant number, since it is smaller than the sum of its proper divisors (257912813474500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220120122100100 is a wasteful number, since it uses less digits than its factorization.

220120122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160713 (or 160706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220120122100100 its reverse (1001221021022), we get a palindrome (221121343121122).

The spelling of 220120122100100 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred".