20100112100 has 36 divisors (see below), whose sum is σ = 43734260724. Its totient is φ = 8018474880.

The previous prime is 20100112079. The next prime is 20100112127. The reversal of 20100112100 is 121100102.

It can be written as a sum of positive squares in 6 ways, for example, as 1304798884 + 18795313216 = 36122^2 + 137096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232139 + ... + 306738.

Almost surely, 2^20100112100 is an apocalyptic number.

20100112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100112100 is an abundant number, since it is smaller than the sum of its proper divisors (23634148624).

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

20100112100 is a wasteful number, since it uses less digits than its factorization.

20100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539264 (or 539257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20100112100 its reverse (121100102), we get a palindrome (20221212202).

The spelling of 20100112100 in words is "twenty billion, one hundred million, one hundred twelve thousand, one hundred".