111111111116101 has 2 divisors, whose sum is σ = 111111111116102. Its totient is φ = 111111111116100.

The previous prime is 111111111115987. The next prime is 111111111116111. The reversal of 111111111116101 is 101611111111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104963815684225 + 6147295431876 = 10245185^2 + 2479374^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111111116101 - 2²⁵ = 111111077561669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111111116111) 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, 55555555558050 + 55555555558051.

It is an arithmetic number, because the mean of its divisors is an integer number (55555555558051).

Almost surely, 2^{111111111116101} is an apocalyptic number.

It is an amenable number.

111111111116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111111116101 is an equidigital number, since it uses as much as digits as its factorization.

111111111116101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 19.

Adding to 111111111116101 its reverse (101611111111111), we get a palindrome (212722222227212).

The spelling of 111111111116101 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred sixteen thousand, one hundred one".