101110001001017 has 2 divisors, whose sum is σ = 101110001001018. Its totient is φ = 101110001001016.

The previous prime is 101110001000977. The next prime is 101110001001029. The reversal of 101110001001017 is 710100100011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78669875116816 + 22440125884201 = 8869604^2 + 4737101^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110001001017 - 2¹⁴ = 101110000984633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110001000992 and 101110001001010.

It is not a weakly prime, because it can be changed into another prime (101110009001017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000500508 + 50555000500509.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000500509).

Almost surely, 2^{101110001001017} is an apocalyptic number.

It is an amenable number.

101110001001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110001001017 is an equidigital number, since it uses as much as digits as its factorization.

101110001001017 is an evil number, because the sum of its binary digits is even.

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

Adding to 101110001001017 its reverse (710100100011101), we get a palindrome (811210101012118).

The spelling of 101110001001017 in words is "one hundred one trillion, one hundred ten billion, one million, one thousand, seventeen".