1112101010017 has 2 divisors, whose sum is σ = 1112101010018. Its totient is φ = 1112101010016.

The previous prime is 1112101010011. The next prime is 1112101010023. The reversal of 1112101010017 is 7100101012111.

It is a balanced prime because it is at equal distance from previous prime (1112101010011) and next prime (1112101010023).

It can be written as a sum of positive squares in only one way, i.e., 990659911761 + 121441098256 = 995319^2 + 348484^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112101010017 - 2⁷ = 1112101009889 is a prime.

It is not a weakly prime, because it can be changed into another prime (1112101010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556050505008 + 556050505009.

It is an arithmetic number, because the mean of its divisors is an integer number (556050505009).

Almost surely, 2^{1112101010017} is an apocalyptic number.

It is an amenable number.

1112101010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112101010017 is an equidigital number, since it uses as much as digits as its factorization.

1112101010017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 1112101010017 its reverse (7100101012111), we get a palindrome (8212202022128).

The spelling of 1112101010017 in words is "one trillion, one hundred twelve billion, one hundred one million, ten thousand, seventeen".