102212112011121 has 24 divisors (see below), whose sum is σ = 170401710558144. Its totient is φ = 57828634797600.

The previous prime is 102212112011063. The next prime is 102212112011143. The reversal of 102212112011121 is 121110211212201.

It is a happy number.

102212112011121 is a `hidden beast` number, since 1 + 0 + 221 + 211 + 201 + 11 + 21 = 666.

It is not a de Polignac number, because 102212112011121 - 2¹⁰ = 102212112010097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212112011094 and 102212112011103.

It is not an unprimeable number, because it can be changed into a prime (102212112111121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8031748471 + ... + 8031761196.

It is an arithmetic number, because the mean of its divisors is an integer number (7100071273256).

Almost surely, 2^{102212112011121} is an apocalyptic number.

It is an amenable number.

102212112011121 is a deficient number, since it is larger than the sum of its proper divisors (68189598547023).

102212112011121 is a wasteful number, since it uses less digits than its factorization.

102212112011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16063509781 (or 16063509778 counting only the distinct ones).

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

Adding to 102212112011121 its reverse (121110211212201), we get a palindrome (223322323223322).

The spelling of 102212112011121 in words is "one hundred two trillion, two hundred twelve billion, one hundred twelve million, eleven thousand, one hundred twenty-one".