102012133120110 has 96 divisors (see below), whose sum is σ = 265610472304320. Its totient is φ = 27164376082944.

The previous prime is 102012133120033. The next prime is 102012133120141. The reversal of 102012133120110 is 11021331210201.

102012133120110 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 121 + 331 + 201 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1272455247 + ... + 1272535413.

It is an arithmetic number, because the mean of its divisors is an integer number (2766775753170).

Almost surely, 2^{102012133120110} is an apocalyptic number.

102012133120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012133120110 is an abundant number, since it is smaller than the sum of its proper divisors (163598339184210).

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

102012133120110 is a wasteful number, since it uses less digits than its factorization.

102012133120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100202 (or 100199 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102012133120110 its reverse (11021331210201), we get a palindrome (113033464330311).

The spelling of 102012133120110 in words is "one hundred two trillion, twelve billion, one hundred thirty-three million, one hundred twenty thousand, one hundred ten".