10112105117 has 2 divisors, whose sum is σ = 10112105118. Its totient is φ = 10112105116.

The previous prime is 10112104979. The next prime is 10112105119. The reversal of 10112105117 is 71150121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10018808836 + 93296281 = 100094^2 + 9659^2 .

It is an emirp because it is prime and its reverse (71150121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112105117 - 2²⁰ = 10111056541 is a prime.

Together with 10112105119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112105119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056052558 + 5056052559.

It is an arithmetic number, because the mean of its divisors is an integer number (5056052559).

Almost surely, 2^10112105117 is an apocalyptic number.

It is an amenable number.

10112105117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112105117 is an equidigital number, since it uses as much as digits as its factorization.

10112105117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 20.

Adding to 10112105117 its reverse (71150121101), we get a palindrome (81262226218).

The spelling of 10112105117 in words is "ten billion, one hundred twelve million, one hundred five thousand, one hundred seventeen".