100113102322112 has 112 divisors (see below), whose sum is σ = 217473171148800. Its totient is φ = 45348503961600.

The previous prime is 100113102322033. The next prime is 100113102322151. The reversal of 100113102322112 is 211223201311001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256158593 + ... + 256549119.

It is an arithmetic number, because the mean of its divisors is an integer number (1941724742400).

Almost surely, 2^{100113102322112} 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 100113102322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108736585574400).

100113102322112 is an abundant number, since it is smaller than the sum of its proper divisors (117360068826688).

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

100113102322112 is a wasteful number, since it uses less digits than its factorization.

100113102322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391810 (or 391800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100113102322112 its reverse (211223201311001), we get a palindrome (311336303633113).

The spelling of 100113102322112 in words is "one hundred trillion, one hundred thirteen billion, one hundred two million, three hundred twenty-two thousand, one hundred twelve".