102011132000112 has 80 divisors (see below), whose sum is σ = 280643342453280. Its totient is φ = 31818501062656.

The previous prime is 102011132000111. The next prime is 102011132000137. The reversal of 102011132000112 is 211000231110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011132000091 and 102011132000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011132000111) by changing a digit.

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, 361169937 + ... + 361452272.

It is an arithmetic number, because the mean of its divisors is an integer number (3508041780666).

Almost surely, 2^{102011132000112} is an apocalyptic number.

102011132000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011132000112 is an abundant number, since it is smaller than the sum of its proper divisors (178632210453168).

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

102011132000112 is a wasteful number, since it uses less digits than its factorization.

102011132000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722622410 (or 722622404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102011132000112 its reverse (211000231110201), we get a palindrome (313011363110313).

The spelling of 102011132000112 in words is "one hundred two trillion, eleven billion, one hundred thirty-two million, one hundred twelve", and thus it is an aban number.