111001101011117 has 2 divisors, whose sum is σ = 111001101011118. Its totient is φ = 111001101011116.

The previous prime is 111001101011057. The next prime is 111001101011167. The reversal of 111001101011117 is 711110101100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107617925696836 + 3383175314281 = 10373906^2 + 1839341^2 .

It is an emirp because it is prime and its reverse (711110101100111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111001101011117 - 2³² = 110996806043821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001101011095 and 111001101011104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111001101011167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500550505558 + 55500550505559.

It is an arithmetic number, because the mean of its divisors is an integer number (55500550505559).

Almost surely, 2^{111001101011117} is an apocalyptic number.

It is an amenable number.

111001101011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001101011117 is an equidigital number, since it uses as much as digits as its factorization.

111001101011117 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 17.

Adding to 111001101011117 its reverse (711110101100111), we get a palindrome (822111202111228).

The spelling of 111001101011117 in words is "one hundred eleven trillion, one billion, one hundred one million, eleven thousand, one hundred seventeen".