10111101111017 has 2 divisors, whose sum is σ = 10111101111018. Its totient is φ = 10111101111016.

The previous prime is 10111101110969. The next prime is 10111101111019. The reversal of 10111101111017 is 71011110111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9227596988416 + 883504122601 = 3037696^2 + 939949^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111101111017 - 2⁶ = 10111101110953 is a prime.

Together with 10111101111019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111101110986 and 10111101111004.

It is not a weakly prime, because it can be changed into another prime (10111101111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550555508 + 5055550555509.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550555509).

Almost surely, 2^{10111101111017} is an apocalyptic number.

It is an amenable number.

10111101111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101111017 is an equidigital number, since it uses as much as digits as its factorization.

10111101111017 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 17.

Adding to 10111101111017 its reverse (71011110111101), we get a palindrome (81122211222118).

It can be divided in two parts, 1011110111101 and 7, that multiplied together give a palindrome (7077770777707).

The spelling of 10111101111017 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, seventeen".