11100001100117 has 2 divisors, whose sum is σ = 11100001100118. Its totient is φ = 11100001100116.

The previous prime is 11100001100093. The next prime is 11100001100129. The reversal of 11100001100117 is 71100110000111.

11100001100117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10174020226276 + 925980873841 = 3189674^2 + 962279^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100001100117 - 2¹⁶ = 11100001034581 is a prime.

It is a super-2 number, since 2×11100001100117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11100001105117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550000550058 + 5550000550059.

It is an arithmetic number, because the mean of its divisors is an integer number (5550000550059).

Almost surely, 2^{11100001100117} is an apocalyptic number.

It is an amenable number.

11100001100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100001100117 is an equidigital number, since it uses as much as digits as its factorization.

11100001100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 11100001100117 its reverse (71100110000111), we get a palindrome (82200111100228).

The spelling of 11100001100117 in words is "eleven trillion, one hundred billion, one million, one hundred thousand, one hundred seventeen".