10011112117 has 2 divisors, whose sum is σ = 10011112118. Its totient is φ = 10011112116.

The previous prime is 10011112091. The next prime is 10011112121. The reversal of 10011112117 is 71121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10008201681 + 2910436 = 100041^2 + 1706^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112117 - 2²⁷ = 9876894389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011112117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011112187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556058 + 5005556059.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556059).

Almost surely, 2^10011112117 is an apocalyptic number.

It is an amenable number.

10011112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112117 is an equidigital number, since it uses as much as digits as its factorization.

10011112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 10011112117 its reverse (71121111001), we get a palindrome (81132223118).

The spelling of 10011112117 in words is "ten billion, eleven million, one hundred twelve thousand, one hundred seventeen".