1110000101017 has 2 divisors, whose sum is σ = 1110000101018. Its totient is φ = 1110000101016.

The previous prime is 1110000100997. The next prime is 1110000101039. The reversal of 1110000101017 is 7101010000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1050575800576 + 59424300441 = 1024976^2 + 243771^2 .

It is an emirp because it is prime and its reverse (7101010000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1110000101017 - 2²⁷ = 1109865883289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110000100988 and 1110000101006.

It is not a weakly prime, because it can be changed into another prime (1110000101087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555000050508 + 555000050509.

It is an arithmetic number, because the mean of its divisors is an integer number (555000050509).

Almost surely, 2^{1110000101017} is an apocalyptic number.

It is an amenable number.

1110000101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110000101017 is an equidigital number, since it uses as much as digits as its factorization.

1110000101017 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 13.

Adding to 1110000101017 its reverse (7101010000111), we get a palindrome (8211010101128).

The spelling of 1110000101017 in words is "one trillion, one hundred ten billion, one hundred one thousand, seventeen".