102012111100120 has 64 divisors (see below), whose sum is σ = 247186184192640. Its totient is φ = 37665554342400.

The previous prime is 102012111100099. The next prime is 102012111100139. The reversal of 102012111100120 is 21001111210201.

It is a happy number.

It is a super-2 number, since 2×102012111100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102012111100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43425310 + ... + 45714130.

It is an arithmetic number, because the mean of its divisors is an integer number (3862284128010).

Almost surely, 2^{102012111100120} is an apocalyptic number.

102012111100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012111100120 is an abundant number, since it is smaller than the sum of its proper divisors (145174073092520).

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

102012111100120 is a wasteful number, since it uses less digits than its factorization.

102012111100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374556 (or 2374552 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102012111100120 its reverse (21001111210201), we get a palindrome (123013222310321).

The spelling of 102012111100120 in words is "one hundred two trillion, twelve billion, one hundred eleven million, one hundred thousand, one hundred twenty".