102332131200112 has 160 divisors (see below), whose sum is σ = 221495424099840. Its totient is φ = 45404870784000.

The previous prime is 102332131200043. The next prime is 102332131200113. The reversal of 102332131200112 is 211002131233201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102332131200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7048145589 + ... + 7048160107.

It is an arithmetic number, because the mean of its divisors is an integer number (1384346400624).

Almost surely, 2^{102332131200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102332131200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110747712049920).

102332131200112 is an abundant number, since it is smaller than the sum of its proper divisors (119163292899728).

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

102332131200112 is a wasteful number, since it uses less digits than its factorization.

102332131200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18377 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102332131200112 its reverse (211002131233201), we get a palindrome (313334262433313).

The spelling of 102332131200112 in words is "one hundred two trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred thousand, one hundred twelve".