102212210022120 has 384 divisors, whose sum is σ = 385016948784000. Its totient is φ = 23277675939840.

The previous prime is 102212210022119. The next prime is 102212210022137. The reversal of 102212210022120 is 21220012212201.

It is a happy number.

102212210022120 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 210 + 0 + 221 + 20 = 666.

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 = 102212210022093 and 102212210022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7778490 + ... + 16276649.

It is an arithmetic number, because the mean of its divisors is an integer number (1002648304125).

Almost surely, 2^{102212210022120} is an apocalyptic number.

102212210022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212210022120 is an abundant number, since it is smaller than the sum of its proper divisors (282804738761880).

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

102212210022120 is a wasteful number, since it uses less digits than its factorization.

102212210022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24055233 (or 24055226 counting only the distinct ones).

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

Adding to 102212210022120 its reverse (21220012212201), we get a palindrome (123432222234321).

The spelling of 102212210022120 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, twenty-two thousand, one hundred twenty".