11211112112117 has 2 divisors, whose sum is σ = 11211112112118. Its totient is φ = 11211112112116.

The previous prime is 11211112112107. The next prime is 11211112112171. The reversal of 11211112112117 is 71121121111211.

Together with next prime (11211112112171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10237734525316 + 973377586801 = 3199646^2 + 986599^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211112112117 - 2²⁸ = 11210843676661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11211112112092 and 11211112112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11211112112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605556056058 + 5605556056059.

It is an arithmetic number, because the mean of its divisors is an integer number (5605556056059).

Almost surely, 2^{11211112112117} is an apocalyptic number.

It is an amenable number.

11211112112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211112112117 is an equidigital number, since it uses as much as digits as its factorization.

11211112112117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56, while the sum is 23.

Adding to 11211112112117 its reverse (71121121111211), we get a palindrome (82332233223328).

The spelling of 11211112112117 in words is "eleven trillion, two hundred eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred seventeen".