100200112200 has 288 divisors, whose sum is σ = 340149200040. Its totient is φ = 26432409600.

The previous prime is 100200112193. The next prime is 100200112211. The reversal of 100200112200 is 2211002001.

It can be written as a sum of positive squares in 12 ways, for example, as 9272534436 + 90927577764 = 96294^2 + 301542^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72555510 + ... + 72556890.

Almost surely, 2^100200112200 is an apocalyptic number.

100200112200 is a gapful number since it is divisible by the number (10) 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 100200112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170074600020).

100200112200 is an abundant number, since it is smaller than the sum of its proper divisors (239949087840).

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

100200112200 is a wasteful number, since it uses less digits than its factorization.

100200112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1797 counting only the distinct ones).

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

Adding to 100200112200 its reverse (2211002001), we get a palindrome (102411114201).

The spelling of 100200112200 in words is "one hundred billion, two hundred million, one hundred twelve thousand, two hundred".