12564160101 has 8 divisors (see below), whose sum is σ = 18613570560. Its totient is φ = 8376106716.

The previous prime is 12564160087. The next prime is 12564160139. The reversal of 12564160101 is 10106146521.

12564160101 is a `hidden beast` number, since 1 + 2 + 5 + 641 + 6 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 12564160101 - 2¹³ = 12564151909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 465339263 = 12564160101 / (1 + 2 + 5 + 6 + 4 + 1 + 6 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564160151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232669605 + ... + 232669658.

It is an arithmetic number, because the mean of its divisors is an integer number (2326696320).

Almost surely, 2^12564160101 is an apocalyptic number.

It is an amenable number.

12564160101 is a deficient number, since it is larger than the sum of its proper divisors (6049410459).

12564160101 is an equidigital number, since it uses as much as digits as its factorization.

12564160101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465339272 (or 465339266 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12564160101 in words is "twelve billion, five hundred sixty-four million, one hundred sixty thousand, one hundred one".