10140344413101 has 72 divisors (see below), whose sum is σ = 17199633765600. Its totient is φ = 5739726484800.

The previous prime is 10140344413097. The next prime is 10140344413189. The reversal of 10140344413101 is 10131444304101.

10140344413101 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 344 + 4 + 1 + 310 + 1 = 666.

It is not a de Polignac number, because 10140344413101 - 2² = 10140344413097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140344423101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185086330 + ... + 185141108.

It is an arithmetic number, because the mean of its divisors is an integer number (238883802300).

Almost surely, 2^{10140344413101} is an apocalyptic number.

It is an amenable number.

10140344413101 is a deficient number, since it is larger than the sum of its proper divisors (7059289352499).

10140344413101 is a wasteful number, since it uses less digits than its factorization.

10140344413101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58759 (or 58749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10140344413101 its reverse (10131444304101), we get a palindrome (20271788717202).

The spelling of 10140344413101 in words is "ten trillion, one hundred forty billion, three hundred forty-four million, four hundred thirteen thousand, one hundred one".