102202122110112 has 120 divisors (see below), whose sum is σ = 300585121011252. Its totient is φ = 34066068480000.

The previous prime is 102202122110107. The next prime is 102202122110183. The reversal of 102202122110112 is 211011221202201.

102202122110112 is a `hidden beast` number, since 10 + 220 + 212 + 2 + 110 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102195843766416 + 6278343696 = 10109196^2 + 79236^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68103862 + ... + 69588362.

Almost surely, 2^{102202122110112} is an apocalyptic number.

102202122110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202122110112 is an abundant number, since it is smaller than the sum of its proper divisors (198382998901140).

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

102202122110112 is a wasteful number, since it uses less digits than its factorization.

102202122110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511084 (or 1511067 counting only the distinct ones).

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

Adding to 102202122110112 its reverse (211011221202201), we get a palindrome (313213343312313).

The spelling of 102202122110112 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".