101111120017 has 2 divisors, whose sum is σ = 101111120018. Its totient is φ = 101111120016.

The previous prime is 101111119999. The next prime is 101111120027. The reversal of 101111120017 is 710021111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80451082321 + 20660037696 = 283639^2 + 143736^2 .

It is an emirp because it is prime and its reverse (710021111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111120017 - 2²⁷ = 100976902289 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111120027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555560008 + 50555560009.

It is an arithmetic number, because the mean of its divisors is an integer number (50555560009).

Almost surely, 2^101111120017 is an apocalyptic number.

It is an amenable number.

101111120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111120017 is an equidigital number, since it uses as much as digits as its factorization.

101111120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 101111120017 its reverse (710021111101), we get a palindrome (811132231118).

The spelling of 101111120017 in words is "one hundred one billion, one hundred eleven million, one hundred twenty thousand, seventeen".