100521216657 has 12 divisors (see below), whose sum is σ = 146482246404. Its totient is φ = 66421098240.

The previous prime is 100521216647. The next prime is 100521216667. The reversal of 100521216657 is 756612125001.

100521216657 is a `hidden beast` number, since 1 + 0 + 0 + 521 + 21 + 66 + 57 = 666.

It is an interprime number because it is at equal distance from previous prime (100521216647) and next prime (100521216667).

It can be written as a sum of positive squares in 2 ways, for example, as 22800698001 + 77720518656 = 150999^2 + 278784^2 .

It is not a de Polignac number, because 100521216657 - 2¹⁰ = 100521215633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100521216647) 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, 49419444 + ... + 49421477.

It is an arithmetic number, because the mean of its divisors is an integer number (12206853867).

Almost surely, 2^100521216657 is an apocalyptic number.

It is an amenable number.

100521216657 is a deficient number, since it is larger than the sum of its proper divisors (45961029747).

100521216657 is a wasteful number, since it uses less digits than its factorization.

100521216657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98841040 (or 98841037 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 100521216657 in words is "one hundred billion, five hundred twenty-one million, two hundred sixteen thousand, six hundred fifty-seven".