102120101121120 has 192 divisors, whose sum is σ = 339850903633920. Its totient is φ = 25733566035968.

The previous prime is 102120101121109. The next prime is 102120101121163. The reversal of 102120101121120 is 21121101021201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102120101121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77390592 + ... + 78699071.

It is an arithmetic number, because the mean of its divisors is an integer number (1770056789760).

Almost surely, 2^{102120101121120} is an apocalyptic number.

102120101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120101121120 is an abundant number, since it is smaller than the sum of its proper divisors (237730802512800).

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

102120101121120 is a wasteful number, since it uses less digits than its factorization.

102120101121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156089757 (or 156089749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102120101121120 its reverse (21121101021201), we get a palindrome (123241202142321).

The spelling of 102120101121120 in words is "one hundred two trillion, one hundred twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".