112929627168601 has 2 divisors, whose sum is σ = 112929627168602. Its totient is φ = 112929627168600.

The previous prime is 112929627168583. The next prime is 112929627168619. The reversal of 112929627168601 is 106861726929211.

It is a balanced prime because it is at equal distance from previous prime (112929627168583) and next prime (112929627168619).

It can be written as a sum of positive squares in only one way, i.e., 108759765152025 + 4169862016576 = 10428795^2 + 2042024^2 .

It is an emirp because it is prime and its reverse (106861726929211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112929627168601 - 2¹¹ = 112929627166553 is a prime.

It is a super-2 number, since 2×112929627168601² (a number of 29 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 112929627168601.

It is not a weakly prime, because it can be changed into another prime (112929627168401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56464813584300 + 56464813584301.

It is an arithmetic number, because the mean of its divisors is an integer number (56464813584301).

Almost surely, 2^{112929627168601} is an apocalyptic number.

It is an amenable number.

112929627168601 is a deficient number, since it is larger than the sum of its proper divisors (1).

112929627168601 is an equidigital number, since it uses as much as digits as its factorization.

112929627168601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 112929627168601 in words is "one hundred twelve trillion, nine hundred twenty-nine billion, six hundred twenty-seven million, one hundred sixty-eight thousand, six hundred one".