20101122100 has 72 divisors (see below), whose sum is σ = 43885052288. Its totient is φ = 7991654400.

The previous prime is 20101122059. The next prime is 20101122137. The reversal of 20101122100 is 122110102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 16328485 + ... + 16329715.

Almost surely, 2^20101122100 is an apocalyptic number.

20101122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101122100 is an abundant number, since it is smaller than the sum of its proper divisors (23783930188).

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

20101122100 is a wasteful number, since it uses less digits than its factorization.

20101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101122100 its reverse (122110102), we get a palindrome (20223232202).

The spelling of 20101122100 in words is "twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred".