21000100122120 has 192 divisors, whose sum is σ = 77143225348800. Its totient is φ = 4547390077440.

The previous prime is 21000100122119. The next prime is 21000100122137. The reversal of 21000100122120 is 2122100100012.

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

It is a junction number, because it is equal to n+sod(n) for n = 21000100122096 and 21000100122105.

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, 93873691 + ... + 94097130.

It is an arithmetic number, because the mean of its divisors is an integer number (401787632025).

Almost surely, 2^{21000100122120} is an apocalyptic number.

21000100122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000100122120 is an abundant number, since it is smaller than the sum of its proper divisors (56143125226680).

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

21000100122120 is a wasteful number, since it uses less digits than its factorization.

21000100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187970868 (or 187970857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000100122120 its reverse (2122100100012), we get a palindrome (23122200222132).

The spelling of 21000100122120 in words is "twenty-one trillion, one hundred million, one hundred twenty-two thousand, one hundred twenty".