111122112011117 has 2 divisors, whose sum is σ = 111122112011118. Its totient is φ = 111122112011116.

The previous prime is 111122112011101. The next prime is 111122112011137. The reversal of 111122112011117 is 711110211221111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108366309487396 + 2755802523721 = 10409914^2 + 1660061^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122112011117 - 2⁴ = 111122112011101 is a prime.

It is a super-2 number, since 2×111122112011117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111122112011092 and 111122112011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111122112011137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561056005558 + 55561056005559.

It is an arithmetic number, because the mean of its divisors is an integer number (55561056005559).

Almost surely, 2^{111122112011117} is an apocalyptic number.

It is an amenable number.

111122112011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122112011117 is an equidigital number, since it uses as much as digits as its factorization.

111122112011117 is an evil number, because the sum of its binary digits is even.

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

Adding to 111122112011117 its reverse (711110211221111), we get a palindrome (822232323232228).

The spelling of 111122112011117 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twelve million, eleven thousand, one hundred seventeen".