10117009721 has 16 divisors (see below), whose sum is σ = 12454810368. Its totient is φ = 8002670400.

The previous prime is 10117009717. The next prime is 10117009729. The reversal of 10117009721 is 12790071101.

It is a cyclic number.

It is not a de Polignac number, because 10117009721 - 2² = 10117009717 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10117009729) 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, 430916 + ... + 453786.

It is an arithmetic number, because the mean of its divisors is an integer number (778425648).

Almost surely, 2^10117009721 is an apocalyptic number.

It is an amenable number.

10117009721 is a deficient number, since it is larger than the sum of its proper divisors (2337800647).

10117009721 is a wasteful number, since it uses less digits than its factorization.

10117009721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27752.

The product of its (nonzero) digits is 882, while the sum is 29.

The spelling of 10117009721 in words is "ten billion, one hundred seventeen million, nine thousand, seven hundred twenty-one".