102122102021112 has 64 divisors (see below), whose sum is σ = 283910287140000. Its totient is φ = 34012166890752.

The previous prime is 102122102021081. The next prime is 102122102021113. The reversal of 102122102021112 is 211120201221201.

102122102021112 is a `hidden beast` number, since 1 + 0 + 212 + 210 + 20 + 211 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122102021113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197892987 + ... + 198408362.

Almost surely, 2^{102122102021112} is an apocalyptic number.

102122102021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122102021112 is an abundant number, since it is smaller than the sum of its proper divisors (181788185118888).

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

102122102021112 is a wasteful number, since it uses less digits than its factorization.

102122102021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396302557 (or 396302547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122102021112 its reverse (211120201221201), we get a palindrome (313242303242313).

The spelling of 102122102021112 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, one hundred twelve".