128518585101 has 48 divisors (see below), whose sum is σ = 192757946368. Its totient is φ = 82448150400.

The previous prime is 128518585081. The next prime is 128518585123. The reversal of 128518585101 is 101585815821.

128518585101 is a `hidden beast` number, since 1 + 2 + 8 + 51 + 8 + 585 + 10 + 1 = 666.

It is not a de Polignac number, because 128518585101 - 2¹⁵ = 128518552333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128518585171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13993731 + ... + 14002911.

Almost surely, 2^128518585101 is an apocalyptic number.

It is an amenable number.

128518585101 is a deficient number, since it is larger than the sum of its proper divisors (64239361267).

128518585101 is a wasteful number, since it uses less digits than its factorization.

128518585101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 45.

The spelling of 128518585101 in words is "one hundred twenty-eight billion, five hundred eighteen million, five hundred eighty-five thousand, one hundred one".