12641592101 has 8 divisors (see below), whose sum is σ = 13078762200. Its totient is φ = 12204505600.

The previous prime is 12641592079. The next prime is 12641592109. The reversal of 12641592101 is 10129514621.

It can be written as a sum of positive squares in 4 ways, for example, as 1568239201 + 11073352900 = 39601^2 + 105230^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12641592101 - 2¹⁸ = 12641329957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641592109) 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, 580001 + ... + 601401.

It is an arithmetic number, because the mean of its divisors is an integer number (1634845275).

Almost surely, 2^12641592101 is an apocalyptic number.

It is an amenable number.

12641592101 is a deficient number, since it is larger than the sum of its proper divisors (437170099).

12641592101 is a wasteful number, since it uses less digits than its factorization.

12641592101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41799.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 12641592101 in words is "twelve billion, six hundred forty-one million, five hundred ninety-two thousand, one hundred one".