100212022200 has 96 divisors (see below), whose sum is σ = 312892473600. Its totient is φ = 26530930560.

The previous prime is 100212022177. The next prime is 100212022279. The reversal of 100212022200 is 2220212001.

100212022200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517392 + ... + 684191.

It is an arithmetic number, because the mean of its divisors is an integer number (3259296600).

Almost surely, 2^100212022200 is an apocalyptic number.

100212022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212022200 is an abundant number, since it is smaller than the sum of its proper divisors (212680451400).

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

100212022200 is a wasteful number, since it uses less digits than its factorization.

100212022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201741 (or 1201732 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100212022200 its reverse (2220212001), we get a palindrome (102432234201).

The spelling of 100212022200 in words is "one hundred billion, two hundred twelve million, twenty-two thousand, two hundred".