102122011122120 has 192 divisors, whose sum is σ = 362696459149440. Its totient is φ = 24713944473600.

The previous prime is 102122011122101. The next prime is 102122011122247. The reversal of 102122011122120 is 21221110221201.

102122011122120 is a `hidden beast` number, since 1 + 0 + 212 + 201 + 11 + 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 = 102122011122093 and 102122011122102.

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, 20062036 + ... + 24631875.

It is an arithmetic number, because the mean of its divisors is an integer number (1889044058070).

Almost surely, 2^{102122011122120} is an apocalyptic number.

102122011122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122011122120 is an abundant number, since it is smaller than the sum of its proper divisors (260574448027320).

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

102122011122120 is a wasteful number, since it uses less digits than its factorization.

102122011122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44694516 (or 44694509 counting only the distinct ones).

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

Adding to 102122011122120 its reverse (21221110221201), we get a palindrome (123343121343321).

The spelling of 102122011122120 in words is "one hundred two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred twenty".