11111011102117 has 2 divisors, whose sum is σ = 11111011102118. Its totient is φ = 11111011102116.

The previous prime is 11111011102097. The next prime is 11111011102141. The reversal of 11111011102117 is 71120111011111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10633344896161 + 477666205956 = 3260881^2 + 691134^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111011102117 - 2²³ = 11111002713509 is a prime.

It is a super-2 number, since 2×11111011102117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11111011102094 and 11111011102103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11111011202117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555505551058 + 5555505551059.

It is an arithmetic number, because the mean of its divisors is an integer number (5555505551059).

Almost surely, 2^{11111011102117} is an apocalyptic number.

It is an amenable number.

11111011102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111011102117 is an equidigital number, since it uses as much as digits as its factorization.

11111011102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 19.

Adding to 11111011102117 its reverse (71120111011111), we get a palindrome (82231122113228).

The spelling of 11111011102117 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred two thousand, one hundred seventeen".