111100100113117 has 2 divisors, whose sum is σ = 111100100113118. Its totient is φ = 111100100113116.

The previous prime is 111100100113109. The next prime is 111100100113207. The reversal of 111100100113117 is 711311001001111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78453286752996 + 32646813360121 = 8857386^2 + 5713739^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100100113117 - 2³ = 111100100113109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111100100113094 and 111100100113103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100100113817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550050056558 + 55550050056559.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050056559).

Almost surely, 2^{111100100113117} is an apocalyptic number.

It is an amenable number.

111100100113117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100100113117 is an equidigital number, since it uses as much as digits as its factorization.

111100100113117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 19.

Adding to 111100100113117 its reverse (711311001001111), we get a palindrome (822411101114228).

The spelling of 111100100113117 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred thirteen thousand, one hundred seventeen".