100221111200 has 108 divisors (see below), whose sum is σ = 284610170502. Its totient is φ = 34361510400.

The previous prime is 100221111169. The next prime is 100221111203. The reversal of 100221111200 is 2111122001.

It can be written as a sum of positive squares in 3 ways, for example, as 94192520464 + 6028590736 = 306908^2 + 77644^2 .

It is a super-2 number, since 2×100221111200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221111203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1239131 + ... + 1317530.

Almost surely, 2^100221111200 is an apocalyptic number.

100221111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221111200 is an abundant number, since it is smaller than the sum of its proper divisors (184389059302).

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

100221111200 is a wasteful number, since it uses less digits than its factorization.

100221111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556695 (or 2556675 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221111200 its reverse (2111122001), we get a palindrome (102332233201).

The spelling of 100221111200 in words is "one hundred billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".