102202200112212 has 72 divisors (see below), whose sum is σ = 262764833647680. Its totient is φ = 33484675480320.

The previous prime is 102202200112193. The next prime is 102202200112237. The reversal of 102202200112212 is 212211002202201.

It is a happy number.

102202200112212 is a `hidden beast` number, since 1 + 0 + 220 + 220 + 0 + 1 + 1 + 221 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 9592348 + ... + 17216780.

It is an arithmetic number, because the mean of its divisors is an integer number (3649511578440).

Almost surely, 2^{102202200112212} is an apocalyptic number.

102202200112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202200112212 is an abundant number, since it is smaller than the sum of its proper divisors (160562633535468).

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

102202200112212 is a wasteful number, since it uses less digits than its factorization.

102202200112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630813 (or 7630808 counting only the distinct ones).

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

Adding to 102202200112212 its reverse (212211002202201), we get a palindrome (314413202314413).

The spelling of 102202200112212 in words is "one hundred two trillion, two hundred two billion, two hundred million, one hundred twelve thousand, two hundred twelve".