212112021011121 has 72 divisors (see below), whose sum is σ = 388811380370400. Its totient is φ = 110186665706880.

The previous prime is 212112021011081. The next prime is 212112021011159. The reversal of 212112021011121 is 121110120211212.

It is a happy number.

212112021011121 is a `hidden beast` number, since 212 + 1 + 120 + 210 + 1 + 1 + 121 = 666.

It is not a de Polignac number, because 212112021011121 - 2²⁶ = 212111953902257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112021011094 and 212112021011103.

It is not an unprimeable number, because it can be changed into a prime (212112021011521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461677765 + ... + 462136973.

It is an arithmetic number, because the mean of its divisors is an integer number (5400158060700).

Almost surely, 2^{212112021011121} is an apocalyptic number.

212112021011121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212112021011121 is a deficient number, since it is larger than the sum of its proper divisors (176699359359279).

212112021011121 is a wasteful number, since it uses less digits than its factorization.

212112021011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554459 (or 554449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112021011121 its reverse (121110120211212), we get a palindrome (333222141222333).

The spelling of 212112021011121 in words is "two hundred twelve trillion, one hundred twelve billion, twenty-one million, eleven thousand, one hundred twenty-one".