100002200112 has 120 divisors (see below), whose sum is σ = 302105887200. Its totient is φ = 30785255424.

The previous prime is 100002200087. The next prime is 100002200147. The reversal of 100002200112 is 211002200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100002200094 and 100002200103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424537 + ... + 616632.

It is an arithmetic number, because the mean of its divisors is an integer number (2517549060).

Almost surely, 2^100002200112 is an apocalyptic number.

100002200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002200112 is an abundant number, since it is smaller than the sum of its proper divisors (202103687088).

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

100002200112 is a wasteful number, since it uses less digits than its factorization.

100002200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041235 (or 1041226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002200112 its reverse (211002200001), we get a palindrome (311004400113).

The spelling of 100002200112 in words is "one hundred billion, two million, two hundred thousand, one hundred twelve".