102202002212112 has 60 divisors (see below), whose sum is σ = 312025809788784. Its totient is φ = 30970303700160.

The previous prime is 102202002212033. The next prime is 102202002212113. The reversal of 102202002212112 is 211212200202201.

It is a happy number.

102202002212112 is a `hidden beast` number, since 1 + 0 + 220 + 200 + 221 + 21 + 1 + 2 = 666.

It is a super-2 number, since 2×102202002212112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102202002212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32260731438 + ... + 32260734605.

Almost surely, 2^{102202002212112} is an apocalyptic number.

102202002212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202002212112 is an abundant number, since it is smaller than the sum of its proper divisors (209823807576672).

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

102202002212112 is a wasteful number, since it uses less digits than its factorization.

102202002212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64521466068 (or 64521466059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202002212112 its reverse (211212200202201), we get a palindrome (313414202414313).

The spelling of 102202002212112 in words is "one hundred two trillion, two hundred two billion, two million, two hundred twelve thousand, one hundred twelve".