100113822815112 has 192 divisors, whose sum is σ = 284636229649200. Its totient is φ = 31745346232320.

The previous prime is 100113822815093. The next prime is 100113822815159. The reversal of 100113822815112 is 211518228311001.

100113822815112 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 138 + 2 + 2 + 8 + 1 + 511 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25505792706276 + 74608030108836 = 5050326^2 + 8637594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 143081988 + ... + 143779980.

Almost surely, 2^{100113822815112} is an apocalyptic number.

100113822815112 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 100113822815112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142318114824600).

100113822815112 is an abundant number, since it is smaller than the sum of its proper divisors (184522406834088).

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

100113822815112 is a wasteful number, since it uses less digits than its factorization.

100113822815112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699048 (or 699041 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

The spelling of 100113822815112 in words is "one hundred trillion, one hundred thirteen billion, eight hundred twenty-two million, eight hundred fifteen thousand, one hundred twelve".