101110100111017 has 2 divisors, whose sum is σ = 101110100111018. Its totient is φ = 101110100111016.

The previous prime is 101110100110949. The next prime is 101110100111077. The reversal of 101110100111017 is 710111001011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82331233206336 + 18778866904681 = 9073656^2 + 4333459^2 .

It is an emirp because it is prime and its reverse (710111001011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110100111017 - 2⁷ = 101110100110889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110100111077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555050055508 + 50555050055509.

It is an arithmetic number, because the mean of its divisors is an integer number (50555050055509).

Almost surely, 2^{101110100111017} is an apocalyptic number.

It is an amenable number.

101110100111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110100111017 is an equidigital number, since it uses as much as digits as its factorization.

101110100111017 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 16.

Adding to 101110100111017 its reverse (710111001011101), we get a palindrome (811221101122118).

The spelling of 101110100111017 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, seventeen".