10122313505166 has 12 divisors (see below), whose sum is σ = 21931679261232. Its totient is φ = 3374104501716.

The previous prime is 10122313505159. The next prime is 10122313505261. The reversal of 10122313505166 is 66150531322101.

10122313505166 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 3 + 135 + 0 + 516 + 6 = 666.

It is a super-2 number, since 2×10122313505166² (a number of 27 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 10122313505166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281175375126 + ... + 281175375161.

It is an arithmetic number, because the mean of its divisors is an integer number (1827639938436).

Almost surely, 2^{10122313505166} is an apocalyptic number.

10122313505166 is an abundant number, since it is smaller than the sum of its proper divisors (11809365756066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122313505166 is a wasteful number, since it uses less digits than its factorization.

10122313505166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562350750295 (or 562350750292 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 10122313505166 its reverse (66150531322101), we get a palindrome (76272844827267).

The spelling of 10122313505166 in words is "ten trillion, one hundred twenty-two billion, three hundred thirteen million, five hundred five thousand, one hundred sixty-six".