10122313505165 has 32 divisors (see below), whose sum is σ = 12444839447040. Its totient is φ = 7899620371776.

The previous prime is 10122313505159. The next prime is 10122313505261. The reversal of 10122313505165 is 56150531322101.

It is a cyclic number.

It is not a de Polignac number, because 10122313505165 - 2¹⁰ = 10122313504141 is a prime.

It is a super-2 number, since 2×10122313505165² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678295394 + ... + 678310316.

It is an arithmetic number, because the mean of its divisors is an integer number (388901232720).

Almost surely, 2^{10122313505165} is an apocalyptic number.

It is an amenable number.

10122313505165 is a deficient number, since it is larger than the sum of its proper divisors (2322525941875).

10122313505165 is a wasteful number, since it uses less digits than its factorization.

10122313505165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18713.

The product of its (nonzero) digits is 27000, while the sum is 35.

Adding to 10122313505165 its reverse (56150531322101), we get a palindrome (66272844827266).

The spelling of 10122313505165 in words is "ten trillion, one hundred twenty-two billion, three hundred thirteen million, five hundred five thousand, one hundred sixty-five".