100020022120100 has 36 divisors (see below), whose sum is σ = 217140472826004. Its totient is φ = 39990124087680.

The previous prime is 100020022120097. The next prime is 100020022120177. The reversal of 100020022120100 is 1021220020001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1312458931876 + 98707563188224 = 1145626^2 + 9935168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223334687 + ... + 223782086.

Almost surely, 2^{100020022120100} is an apocalyptic number.

100020022120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020022120100 is an abundant number, since it is smaller than the sum of its proper divisors (117120450705904).

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

100020022120100 is a wasteful number, since it uses less digits than its factorization.

100020022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447119024 (or 447119017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100020022120100 its reverse (1021220020001), we get a palindrome (101041242140101).

The spelling of 100020022120100 in words is "one hundred trillion, twenty billion, twenty-two million, one hundred twenty thousand, one hundred".