17111116121 has 16 divisors (see below), whose sum is σ = 19653489600. Its totient is φ = 14733576000.

The previous prime is 17111116079. The next prime is 17111116129. The reversal of 17111116121 is 12161111171.

It is a happy number.

It is not a de Polignac number, because 17111116121 - 2¹⁴ = 17111099737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17111116129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1723271 + ... + 1733171.

It is an arithmetic number, because the mean of its divisors is an integer number (1228343100).

Almost surely, 2^17111116121 is an apocalyptic number.

17111116121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

17111116121 is a deficient number, since it is larger than the sum of its proper divisors (2542373479).

17111116121 is a wasteful number, since it uses less digits than its factorization.

17111116121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18200.

The product of its digits is 84, while the sum is 23.

Adding to 17111116121 its reverse (12161111171), we get a palindrome (29272227292).

The spelling of 17111116121 in words is "seventeen billion, one hundred eleven million, one hundred sixteen thousand, one hundred twenty-one".