111110101100057 has 2 divisors, whose sum is σ = 111110101100058. Its totient is φ = 111110101100056.

The previous prime is 111110101100003. The next prime is 111110101100071. The reversal of 111110101100057 is 750001101011111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59041335674896 + 52068765425161 = 7683836^2 + 7215869^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110101100057 - 2³⁰ = 111109027358233 is a prime.

It is not a weakly prime, because it can be changed into another prime (111110101100077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555050550028 + 55555050550029.

It is an arithmetic number, because the mean of its divisors is an integer number (55555050550029).

Almost surely, 2^{111110101100057} is an apocalyptic number.

It is an amenable number.

111110101100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110101100057 is an equidigital number, since it uses as much as digits as its factorization.

111110101100057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 20.

Adding to 111110101100057 its reverse (750001101011111), we get a palindrome (861111202111168).

The spelling of 111110101100057 in words is "one hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred thousand, fifty-seven".