21101100122100 has 144 divisors (see below), whose sum is σ = 64725249430016. Its totient is φ = 5298270912000.

The previous prime is 21101100122071. The next prime is 21101100122129. The reversal of 21101100122100 is 122100110112.

It is an interprime number because it is at equal distance from previous prime (21101100122071) and next prime (21101100122129).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30317191 + ... + 31005390.

Almost surely, 2^{21101100122100} is an apocalyptic number.

21101100122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101100122100 is an abundant number, since it is smaller than the sum of its proper divisors (43624149307916).

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

21101100122100 is a wasteful number, since it uses less digits than its factorization.

21101100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61322666 (or 61322659 counting only the distinct ones).

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

Adding to 21101100122100 its reverse (122100110112), we get a palindrome (21223200232212).

The spelling of 21101100122100 in words is "twenty-one trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred".