102112212120120 has 192 divisors, whose sum is σ = 343286054748000. Its totient is φ = 26303374715904.

The previous prime is 102112212120109. The next prime is 102112212120137. The reversal of 102112212120120 is 21021212211201.

102112212120120 is a `hidden beast` number, since 1 + 0 + 211 + 2 + 212 + 120 + 120 = 666.

102112212120120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112212120093 and 102112212120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25724355 + ... + 29427314.

Almost surely, 2^{102112212120120} is an apocalyptic number.

102112212120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112212120120 is an abundant number, since it is smaller than the sum of its proper divisors (241173842627880).

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

102112212120120 is a wasteful number, since it uses less digits than its factorization.

102112212120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55151862 (or 55151855 counting only the distinct ones).

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

Adding to 102112212120120 its reverse (21021212211201), we get a palindrome (123133424331321).

The spelling of 102112212120120 in words is "one hundred two trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".