101111999017 has 2 divisors, whose sum is σ = 101111999018. Its totient is φ = 101111999016.

The previous prime is 101111999003. The next prime is 101111999029. The reversal of 101111999017 is 710999111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86494221801 + 14617777216 = 294099^2 + 120904^2 .

It is an emirp because it is prime and its reverse (710999111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111999017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111999717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555999508 + 50555999509.

It is an arithmetic number, because the mean of its divisors is an integer number (50555999509).

Almost surely, 2^101111999017 is an apocalyptic number.

It is an amenable number.

101111999017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111999017 is an equidigital number, since it uses as much as digits as its factorization.

101111999017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 40.

The spelling of 101111999017 in words is "one hundred one billion, one hundred eleven million, nine hundred ninety-nine thousand, seventeen".