111011121993817 has 2 divisors, whose sum is σ = 111011121993818. Its totient is φ = 111011121993816.

The previous prime is 111011121993623. The next prime is 111011121993823. The reversal of 111011121993817 is 718399121110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98945614073881 + 12065507919936 = 9947141^2 + 3473544^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011121993817 - 2³¹ = 111008974510169 is a prime.

It is a super-2 number, since 2×111011121993817² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111011121993917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505560996908 + 55505560996909.

It is an arithmetic number, because the mean of its divisors is an integer number (55505560996909).

Almost surely, 2^{111011121993817} is an apocalyptic number.

It is an amenable number.

111011121993817 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011121993817 is an equidigital number, since it uses as much as digits as its factorization.

111011121993817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 46.

The spelling of 111011121993817 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-one million, nine hundred ninety-three thousand, eight hundred seventeen".