111009997827697 has 2 divisors, whose sum is σ = 111009997827698. Its totient is φ = 111009997827696.

The previous prime is 111009997827679. The next prime is 111009997827721. The reversal of 111009997827697 is 796728799900111.

Together with previous prime (111009997827679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89338961821041 + 21671036006656 = 9451929^2 + 4655216^2 .

It is a cyclic number.

It is not a de Polignac number, because 111009997827697 - 2³¹ = 111007850344049 is a prime.

It is not a weakly prime, because it can be changed into another prime (111009997827797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55504998913848 + 55504998913849.

It is an arithmetic number, because the mean of its divisors is an integer number (55504998913849).

Almost surely, 2^{111009997827697} is an apocalyptic number.

It is an amenable number.

111009997827697 is a deficient number, since it is larger than the sum of its proper divisors (1).

111009997827697 is an equidigital number, since it uses as much as digits as its factorization.

111009997827697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216040608, while the sum is 76.

The spelling of 111009997827697 in words is "one hundred eleven trillion, nine billion, nine hundred ninety-seven million, eight hundred twenty-seven thousand, six hundred ninety-seven".