102012111011120 has 80 divisors (see below), whose sum is σ = 238074345793440. Its totient is φ = 40650680051712.

The previous prime is 102012111011077. The next prime is 102012111011137. The reversal of 102012111011120 is 21110111210201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102012111011095 and 102012111011104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376399979 + ... + 376670901.

It is an arithmetic number, because the mean of its divisors is an integer number (2975929322418).

Almost surely, 2^{102012111011120} is an apocalyptic number.

102012111011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012111011120 is an abundant number, since it is smaller than the sum of its proper divisors (136062234782320).

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

102012111011120 is a wasteful number, since it uses less digits than its factorization.

102012111011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288702 (or 288696 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102012111011120 its reverse (21110111210201), we get a palindrome (123122222221321).

The spelling of 102012111011120 in words is "one hundred two trillion, twelve billion, one hundred eleven million, eleven thousand, one hundred twenty".