100601306521 has 16 divisors (see below), whose sum is σ = 107247820176. Its totient is φ = 94036340736.

The previous prime is 100601306503. The next prime is 100601306543. The reversal of 100601306521 is 125603106001.

It can be written as a sum of positive squares in 8 ways, for example, as 5636255625 + 94965050896 = 75075^2 + 308164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100601306521 - 2⁵ = 100601306489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100601306321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6603505 + ... + 6618721.

It is an arithmetic number, because the mean of its divisors is an integer number (6702988761).

Almost surely, 2^100601306521 is an apocalyptic number.

It is an amenable number.

100601306521 is a deficient number, since it is larger than the sum of its proper divisors (6646513655).

100601306521 is a wasteful number, since it uses less digits than its factorization.

100601306521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868.

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 100601306521 in words is "one hundred billion, six hundred one million, three hundred six thousand, five hundred twenty-one".