100410304221 has 24 divisors (see below), whose sum is σ = 147947170904. Its totient is φ = 65605023360.

The previous prime is 100410304213. The next prime is 100410304229. The reversal of 100410304221 is 122403014001.

100410304221 is a `hidden beast` number, since 1 + 0 + 0 + 410 + 30 + 4 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (100410304213) and next prime (100410304229).

It can be written as a sum of positive squares in 4 ways, for example, as 545456025 + 99864848196 = 23355^2 + 316014^2 .

It is not a de Polignac number, because 100410304221 - 2³ = 100410304213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100410304194 and 100410304203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100410304229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178066 + ... + 482211.

Almost surely, 2^100410304221 is an apocalyptic number.

It is an amenable number.

100410304221 is a deficient number, since it is larger than the sum of its proper divisors (47536866683).

100410304221 is a wasteful number, since it uses less digits than its factorization.

100410304221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660621 (or 660618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100410304221 its reverse (122403014001), we get a palindrome (222813318222).

The spelling of 100410304221 in words is "one hundred billion, four hundred ten million, three hundred four thousand, two hundred twenty-one".