10117876701321 has 15 divisors (see below), whose sum is σ = 15114401787991. Its totient is φ = 6745232049048.

The previous prime is 10117876701301. The next prime is 10117876701329. The reversal of 10117876701321 is 12310767871101.

The square root of 10117876701321 is 3180861.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9516848633721 + 601028067600 = 3084939^2 + 775260^2 .

It is not a de Polignac number, because 10117876701321 - 2³⁹ = 9568120887433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117876701329) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28451035 + ... + 28804463.

Almost surely, 2^{10117876701321} is an apocalyptic number.

10117876701321 is the 3180861-st square number.

10117876701321 is the 1590431-st centered octagonal number.

It is an amenable number.

10117876701321 is a deficient number, since it is larger than the sum of its proper divisors (4996525086670).

10117876701321 is an frugal number, since it uses more digits than its factorization.

10117876701321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706870 (or 353432 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 10117876701321 in words is "ten trillion, one hundred seventeen billion, eight hundred seventy-six million, seven hundred one thousand, three hundred twenty-one".