10117121089 has 2 divisors, whose sum is σ = 10117121090. Its totient is φ = 10117121088.

The previous prime is 10117121059. The next prime is 10117121093. The reversal of 10117121089 is 98012171101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5914840464 + 4202280625 = 76908^2 + 64825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117121089 - 2¹⁹ = 10116596801 is a prime.

It is a super-2 number, since 2×10117121089² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10117121089.

It is not a weakly prime, because it can be changed into another prime (10117121059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058560544 + 5058560545.

It is an arithmetic number, because the mean of its divisors is an integer number (5058560545).

Almost surely, 2^10117121089 is an apocalyptic number.

It is an amenable number.

10117121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117121089 is an equidigital number, since it uses as much as digits as its factorization.

10117121089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 31.

The spelling of 10117121089 in words is "ten billion, one hundred seventeen million, one hundred twenty-one thousand, eighty-nine".