100221133220 has 24 divisors (see below), whose sum is σ = 226653948024. Its totient is φ = 37004726016.

The previous prime is 100221133189. The next prime is 100221133237. The reversal of 100221133220 is 22331122001.

It can be written as a sum of positive squares in 4 ways, for example, as 355020964 + 99866112256 = 18842^2 + 316016^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 192732689 + ... + 192733208.

It is an arithmetic number, because the mean of its divisors is an integer number (9443914501).

Almost surely, 2^100221133220 is an apocalyptic number.

100221133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221133220 is an abundant number, since it is smaller than the sum of its proper divisors (126432814804).

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

100221133220 is a wasteful number, since it uses less digits than its factorization.

100221133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385465919 (or 385465917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100221133220 its reverse (22331122001), we get a palindrome (122552255221).

The spelling of 100221133220 in words is "one hundred billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty".