100559859921 has 12 divisors (see below), whose sum is σ = 145287275380. Its totient is φ = 67024147680.

The previous prime is 100559859913. The next prime is 100559859941. The reversal of 100559859921 is 129958955001.

100559859921 is a `hidden beast` number, since 1 + 0 + 0 + 559 + 85 + 9 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78983481600 + 21576378321 = 281040^2 + 146889^2 .

It is not a de Polignac number, because 100559859921 - 2³ = 100559859913 is a prime.

It is a super-2 number, since 2×100559859921² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100559859941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272766 + ... + 1349463.

Almost surely, 2^100559859921 is an apocalyptic number.

It is an amenable number.

100559859921 is a deficient number, since it is larger than the sum of its proper divisors (44727415459).

100559859921 is a wasteful number, since it uses less digits than its factorization.

100559859921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626496 (or 2626493 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 54.

The spelling of 100559859921 in words is "one hundred billion, five hundred fifty-nine million, eight hundred fifty-nine thousand, nine hundred twenty-one".