2011112161717 has 2 divisors, whose sum is σ = 2011112161718. Its totient is φ = 2011112161716.

The previous prime is 2011112161687. The next prime is 2011112161727. The reversal of 2011112161717 is 7171612111102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1990373569636 + 20738592081 = 1410806^2 + 144009^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011112161717 - 2⁷ = 2011112161589 is a prime.

It is a super-3 number, since 3×2011112161717³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011112161727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005556080858 + 1005556080859.

It is an arithmetic number, because the mean of its divisors is an integer number (1005556080859).

Almost surely, 2^{2011112161717} is an apocalyptic number.

It is an amenable number.

2011112161717 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011112161717 is an equidigital number, since it uses as much as digits as its factorization.

2011112161717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 31.

Adding to 2011112161717 its reverse (7171612111102), we get a palindrome (9182724272819).

The spelling of 2011112161717 in words is "two trillion, eleven billion, one hundred twelve million, one hundred sixty-one thousand, seven hundred seventeen".