21121102010120 has 64 divisors (see below), whose sum is σ = 55574461134720. Its totient is φ = 7073113227264.

The previous prime is 21121102010089. The next prime is 21121102010137. The reversal of 21121102010120 is 2101020112112.

It is a super-2 number, since 2×21121102010120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21121102010095 and 21121102010104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877110137 + ... + 877134216.

It is an arithmetic number, because the mean of its divisors is an integer number (868350955230).

Almost surely, 2^{21121102010120} is an apocalyptic number.

21121102010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121102010120 is an abundant number, since it is smaller than the sum of its proper divisors (34453359124600).

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

21121102010120 is a wasteful number, since it uses less digits than its factorization.

21121102010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754244414 (or 1754244410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121102010120 its reverse (2101020112112), we get a palindrome (23222122122232).

The spelling of 21121102010120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, ten thousand, one hundred twenty".