10111011111017 has 2 divisors, whose sum is σ = 10111011111018. Its totient is φ = 10111011111016.

The previous prime is 10111011110983. The next prime is 10111011111029. The reversal of 10111011111017 is 71011111011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7087154433241 + 3023856677776 = 2662171^2 + 1738924^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111011111017 - 2⁶ = 10111011110953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111011110986 and 10111011111004.

It is not a weakly prime, because it can be changed into another prime (10111011111217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055505555508 + 5055505555509.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505555509).

Almost surely, 2^{10111011111017} is an apocalyptic number.

It is an amenable number.

10111011111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111011111017 is an equidigital number, since it uses as much as digits as its factorization.

10111011111017 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 17.

Adding to 10111011111017 its reverse (71011111011101), we get a palindrome (81122122122118).

The spelling of 10111011111017 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, seventeen".