100020200122120 has 32 divisors (see below), whose sum is σ = 225045794320920. Its totient is φ = 40008018885120.

The previous prime is 100020200122111. The next prime is 100020200122123. The reversal of 100020200122120 is 21221002020001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99049190903716 + 971009218404 = 9952346^2 + 985398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100020200122120.

It is not an unprimeable number, because it can be changed into a prime (100020200122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32014390 + ... + 34999450.

Almost surely, 2^{100020200122120} is an apocalyptic number.

100020200122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020200122120 is an abundant number, since it is smaller than the sum of its proper divisors (125025594198800).

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

100020200122120 is a wasteful number, since it uses less digits than its factorization.

100020200122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822745 (or 3822741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100020200122120 its reverse (21221002020001), we get a palindrome (121241202142121).

The spelling of 100020200122120 in words is "one hundred trillion, twenty billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".