10917118121 has 48 divisors (see below), whose sum is σ = 14186748240. Its totient is φ = 8317048320.

The previous prime is 10917118103. The next prime is 10917118127. The reversal of 10917118121 is 12181171901.

It can be written as a sum of positive squares in 8 ways, for example, as 1247149225 + 9669968896 = 35315^2 + 98336^2 .

It is not a de Polignac number, because 10917118121 - 2⁶ = 10917118057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10917118127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10288931 + ... + 10289991.

It is an arithmetic number, because the mean of its divisors is an integer number (295557255).

Almost surely, 2^10917118121 is an apocalyptic number.

It is an amenable number.

10917118121 is a deficient number, since it is larger than the sum of its proper divisors (3269630119).

10917118121 is a wasteful number, since it uses less digits than its factorization.

10917118121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 32.

The spelling of 10917118121 in words is "ten billion, nine hundred seventeen million, one hundred eighteen thousand, one hundred twenty-one".