102212120210112 has 112 divisors (see below), whose sum is σ = 327801496694400. Its totient is φ = 30973369754880.

The previous prime is 102212120210107. The next prime is 102212120210117. The reversal of 102212120210112 is 211012021212201.

102212120210112 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 120 + 210 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (102212120210107) and next prime (102212120210117).

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 (102212120210117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688641562 + ... + 2688679577.

Almost surely, 2^{102212120210112} is an apocalyptic number.

102212120210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212120210112 is an abundant number, since it is smaller than the sum of its proper divisors (225589376484288).

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

102212120210112 is a wasteful number, since it uses less digits than its factorization.

102212120210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377321171 (or 5377321155 counting only the distinct ones).

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

Adding to 102212120210112 its reverse (211012021212201), we get a palindrome (313224141422313).

The spelling of 102212120210112 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred ten thousand, one hundred twelve".