212012121011121 has 12 divisors (see below), whose sum is σ = 306256857125700. Its totient is φ = 141333509341440.

The previous prime is 212012121011077. The next prime is 212012121011129. The reversal of 212012121011121 is 121110121210212.

It is a happy number.

212012121011121 is a `hidden beast` number, since 212 + 0 + 121 + 210 + 1 + 1 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124633467012096 + 87378653999025 = 11163936^2 + 9347655^2 .

It is not a de Polignac number, because 212012121011121 - 2⁷ = 212012121010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212012121011094 and 212012121011103.

It is not an unprimeable number, because it can be changed into a prime (212012121011129) 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 11 ways as a sum of consecutive naturals, for example, 658552296 + ... + 658874153.

It is an arithmetic number, because the mean of its divisors is an integer number (25521404760475).

Almost surely, 2^{212012121011121} is an apocalyptic number.

It is an amenable number.

212012121011121 is a deficient number, since it is larger than the sum of its proper divisors (94244736114579).

212012121011121 is a wasteful number, since it uses less digits than its factorization.

212012121011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317444336 (or 1317444333 counting only the distinct ones).

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

Adding to 212012121011121 its reverse (121110121210212), we get a palindrome (333122242221333).

The spelling of 212012121011121 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-one million, eleven thousand, one hundred twenty-one".