100012321133112 has 128 divisors (see below), whose sum is σ = 262209668659200. Its totient is φ = 31745257270272.

The previous prime is 100012321133093. The next prime is 100012321133129. The reversal of 100012321133112 is 211331123210001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251005413 + ... + 1251085355.

It is an arithmetic number, because the mean of its divisors is an integer number (2048513036400).

Almost surely, 2^{100012321133112} is an apocalyptic number.

100012321133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012321133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131104834329600).

100012321133112 is an abundant number, since it is smaller than the sum of its proper divisors (162197347526088).

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

100012321133112 is a wasteful number, since it uses less digits than its factorization.

100012321133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104677 (or 104673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 100012321133112 its reverse (211331123210001), we get a palindrome (311343444343113).

The spelling of 100012321133112 in words is "one hundred trillion, twelve billion, three hundred twenty-one million, one hundred thirty-three thousand, one hundred twelve".