102202012022112 has 72 divisors (see below), whose sum is σ = 293458689944784. Its totient is φ = 33736586482944.

The previous prime is 102202012022107. The next prime is 102202012022129. The reversal of 102202012022112 is 211220210202201.

It is a happy number.

102202012022112 is a `hidden beast` number, since 1 + 0 + 220 + 201 + 20 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102202012022112² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722631003 + ... + 1722690330.

It is an arithmetic number, because the mean of its divisors is an integer number (4075815138122).

Almost surely, 2^{102202012022112} is an apocalyptic number.

102202012022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202012022112 is an abundant number, since it is smaller than the sum of its proper divisors (191256677922672).

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

102202012022112 is a wasteful number, since it uses less digits than its factorization.

102202012022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445321452 (or 3445321441 counting only the distinct ones).

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

Adding to 102202012022112 its reverse (211220210202201), we get a palindrome (313422222224313).

The spelling of 102202012022112 in words is "one hundred two trillion, two hundred two billion, twelve million, twenty-two thousand, one hundred twelve".