10011111011117 has 2 divisors, whose sum is σ = 10011111011118. Its totient is φ = 10011111011116.

The previous prime is 10011111011081. The next prime is 10011111011131. The reversal of 10011111011117 is 71111011111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8719771961476 + 1291339049641 = 2952926^2 + 1136371^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011111011117 - 2¹⁴ = 10011110994733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011111011095 and 10011111011104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011111011417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555505558 + 5005555505559.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555505559).

Almost surely, 2^{10011111011117} is an apocalyptic number.

It is an amenable number.

10011111011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111011117 is an equidigital number, since it uses as much as digits as its factorization.

10011111011117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 10011111011117 its reverse (71111011111001), we get a palindrome (81122122122118).

The spelling of 10011111011117 in words is "ten trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred seventeen".