100221200112200 has 48 divisors (see below), whose sum is σ = 233021811840000. Its totient is φ = 40087186009920.

The previous prime is 100221200112199. The next prime is 100221200112203. The reversal of 100221200112200 is 2211002122001.

It is not an unprimeable number, because it can be changed into a prime (100221200112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1864400 + ... + 14279999.

It is an arithmetic number, because the mean of its divisors is an integer number (4854621080000).

Almost surely, 2^{100221200112200} is an apocalyptic number.

100221200112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221200112200 is an abundant number, since it is smaller than the sum of its proper divisors (132800611727800).

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

100221200112200 is a wasteful number, since it uses less digits than its factorization.

100221200112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16175454 (or 16175445 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221200112200 its reverse (2211002122001), we get a palindrome (102432202234201).

The spelling of 100221200112200 in words is "one hundred trillion, two hundred twenty-one billion, two hundred million, one hundred twelve thousand, two hundred".