102212021111121 has 40 divisors (see below), whose sum is σ = 156726697373928. Its totient is φ = 66360669120000.

The previous prime is 102212021111089. The next prime is 102212021111131. The reversal of 102212021111121 is 121111120212201.

It is a happy number.

102212021111121 is a `hidden beast` number, since 10 + 221 + 202 + 1 + 111 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 709689600 + 102211311421521 = 26640^2 + 10109961^2 .

It is not a de Polignac number, because 102212021111121 - 2⁵ = 102212021111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212021111094 and 102212021111103.

It is not an unprimeable number, because it can be changed into a prime (102212021111131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101909400 + ... + 102907481.

Almost surely, 2^{102212021111121} is an apocalyptic number.

It is an amenable number.

102212021111121 is a deficient number, since it is larger than the sum of its proper divisors (54514676262807).

102212021111121 is a wasteful number, since it uses less digits than its factorization.

102212021111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204817055 (or 204817046 counting only the distinct ones).

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

Adding to 102212021111121 its reverse (121111120212201), we get a palindrome (223323141323322).

The spelling of 102212021111121 in words is "one hundred two trillion, two hundred twelve billion, twenty-one million, one hundred eleven thousand, one hundred twenty-one".