101100111017 has 2 divisors, whose sum is σ = 101100111018. Its totient is φ = 101100111016.

The previous prime is 101100111011. The next prime is 101100111031. The reversal of 101100111017 is 710111001101.

It is an a-pointer prime, because the next prime (101100111031) can be obtained adding 101100111017 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95202485401 + 5897625616 = 308549^2 + 76796^2 .

It is an emirp because it is prime and its reverse (710111001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100111017 - 2¹⁰ = 101100109993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100110992 and 101100111010.

It is not a weakly prime, because it can be changed into another prime (101100111011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055508 + 50550055509.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055509).

Almost surely, 2^101100111017 is an apocalyptic number.

It is an amenable number.

101100111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100111017 is an equidigital number, since it uses as much as digits as its factorization.

101100111017 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 101100111017 its reverse (710111001101), we get a palindrome (811211112118).

The spelling of 101100111017 in words is "one hundred one billion, one hundred million, one hundred eleven thousand, seventeen".