10117101631 has 16 divisors (see below), whose sum is σ = 12454392384. Its totient is φ = 8003084544.

The previous prime is 10117101613. The next prime is 10117101661. The reversal of 10117101631 is 13610171101.

It is a happy number.

It is not a de Polignac number, because 10117101631 - 2⁹ = 10117101119 is a prime.

It is a super-2 number, since 2×10117101631² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117101661) 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, 621411 + ... + 637483.

It is an arithmetic number, because the mean of its divisors is an integer number (778399524).

Almost surely, 2^10117101631 is an apocalyptic number.

10117101631 is a deficient number, since it is larger than the sum of its proper divisors (2337290753).

10117101631 is a wasteful number, since it uses less digits than its factorization.

10117101631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23010.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 10117101631 its reverse (13610171101), we get a palindrome (23727272732).

The spelling of 10117101631 in words is "ten billion, one hundred seventeen million, one hundred one thousand, six hundred thirty-one".