100100200221 has 60 divisors (see below), whose sum is σ = 174021765852. Its totient is φ = 57175155072.

The previous prime is 100100200181. The next prime is 100100200253. The reversal of 100100200221 is 122002001001.

It can be written as a sum of positive squares in 2 ways, for example, as 99622296900 + 477903321 = 315630^2 + 21861^2 .

It is not a de Polignac number, because 100100200221 - 2¹⁷ = 100100069149 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100200271) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12907281 + ... + 12915033.

Almost surely, 2^100100200221 is an apocalyptic number.

It is an amenable number.

100100200221 is a deficient number, since it is larger than the sum of its proper divisors (73921565631).

100100200221 is an equidigital number, since it uses as much as digits as its factorization.

100100200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032 (or 11016 counting only the distinct ones).

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

Adding to 100100200221 its reverse (122002001001), we get a palindrome (222102201222).

The spelling of 100100200221 in words is "one hundred billion, one hundred million, two hundred thousand, two hundred twenty-one".