11112100001117 has 2 divisors, whose sum is σ = 11112100001118. Its totient is φ = 11112100001116.

The previous prime is 11112100001099. The next prime is 11112100001143. The reversal of 11112100001117 is 71110000121111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11111995573156 + 104427961 = 3333466^2 + 10219^2 .

It is a cyclic number.

It is not a de Polignac number, because 11112100001117 - 2¹⁰ = 11112100000093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11112100001095 and 11112100001104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11112100001147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556050000558 + 5556050000559.

It is an arithmetic number, because the mean of its divisors is an integer number (5556050000559).

Almost surely, 2^{11112100001117} is an apocalyptic number.

It is an amenable number.

11112100001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112100001117 is an equidigital number, since it uses as much as digits as its factorization.

11112100001117 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 17.

Adding to 11112100001117 its reverse (71110000121111), we get a palindrome (82222100122228).

The spelling of 11112100001117 in words is "eleven trillion, one hundred twelve billion, one hundred million, one thousand, one hundred seventeen".