21100120112100 has 72 divisors (see below), whose sum is σ = 61323446437120. Its totient is φ = 5601466846080.

The previous prime is 21100120111957. The next prime is 21100120112111. The reversal of 21100120112100 is 121102100112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 157632055 + ... + 157765854.

Almost surely, 2^{21100120112100} is an apocalyptic number.

21100120112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100120112100 is an abundant number, since it is smaller than the sum of its proper divisors (40223326325020).

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

21100120112100 is a wasteful number, since it uses less digits than its factorization.

21100120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315398149 (or 315398142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100120112100 its reverse (121102100112), we get a palindrome (21221222212212).

The spelling of 21100120112100 in words is "twenty-one trillion, one hundred billion, one hundred twenty million, one hundred twelve thousand, one hundred".