10000111222117 has 2 divisors, whose sum is σ = 10000111222118. Its totient is φ = 10000111222116.

The previous prime is 10000111222093. The next prime is 10000111222139. The reversal of 10000111222117 is 71122211100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8343513128196 + 1656598093921 = 2888514^2 + 1287089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000111222117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000111222094 and 10000111222103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000111222147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055611058 + 5000055611059.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055611059).

Almost surely, 2^{10000111222117} is an apocalyptic number.

It is an amenable number.

10000111222117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111222117 is an equidigital number, since it uses as much as digits as its factorization.

10000111222117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10000111222117 its reverse (71122211100001), we get a palindrome (81122322322118).

The spelling of 10000111222117 in words is "ten trillion, one hundred eleven million, two hundred twenty-two thousand, one hundred seventeen".