101110033991017 has 2 divisors, whose sum is σ = 101110033991018. Its totient is φ = 101110033991016.

The previous prime is 101110033990997. The next prime is 101110033991077. The reversal of 101110033991017 is 710199330011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100552280435776 + 557753555241 = 10027576^2 + 746829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110033991017 is a prime.

It is a super-2 number, since 2×101110033991017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101110033991077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555016995508 + 50555016995509.

It is an arithmetic number, because the mean of its divisors is an integer number (50555016995509).

Almost surely, 2^{101110033991017} is an apocalyptic number.

It is an amenable number.

101110033991017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110033991017 is an equidigital number, since it uses as much as digits as its factorization.

101110033991017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 37.

The spelling of 101110033991017 in words is "one hundred one trillion, one hundred ten billion, thirty-three million, nine hundred ninety-one thousand, seventeen".