102212100112212 has 72 divisors (see below), whose sum is σ = 259183783223456. Its totient is φ = 33963483363264.

The previous prime is 102212100112081. The next prime is 102212100112223. The reversal of 102212100112212 is 212211001212201.

102212100112212 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 0 + 11 + 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11478483 + ... + 18335205.

Almost surely, 2^{102212100112212} is an apocalyptic number.

102212100112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212100112212 is an abundant number, since it is smaller than the sum of its proper divisors (156971683111244).

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

102212100112212 is a wasteful number, since it uses less digits than its factorization.

102212100112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858037 (or 6858032 counting only the distinct ones).

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

Adding to 102212100112212 its reverse (212211001212201), we get a palindrome (314423101324413).

The spelling of 102212100112212 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, one hundred twelve thousand, two hundred twelve".