1100110011017 has 2 divisors, whose sum is σ = 1100110011018. Its totient is φ = 1100110011016.

The previous prime is 1100110010981. The next prime is 1100110011071. The reversal of 1100110011017 is 7101100110011.

Together with next prime (1100110011071) 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., 918954221641 + 181155789376 = 958621^2 + 425624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100110011017 - 2⁶ = 1100110010953 is a prime.

It is a super-2 number, since 2×1100110011017² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100110010992 and 1100110011010.

It is not a weakly prime, because it can be changed into another prime (1100110016017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055005508 + 550055005509.

It is an arithmetic number, because the mean of its divisors is an integer number (550055005509).

Almost surely, 2^{1100110011017} is an apocalyptic number.

It is an amenable number.

1100110011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110011017 is an equidigital number, since it uses as much as digits as its factorization.

1100110011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1100110011017 its reverse (7101100110011), we get a palindrome (8201210121028).

The spelling of 1100110011017 in words is "one trillion, one hundred billion, one hundred ten million, eleven thousand, seventeen".