101116111 has 2 divisors, whose sum is σ = 101116112. Its totient is φ = 101116110.

The previous prime is 101116097. The next prime is 101116117. The reversal of 101116111 is 111611101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101116111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101116091 and 101116100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101116117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50558055 + 50558056.

It is an arithmetic number, because the mean of its divisors is an integer number (50558056).

Almost surely, 2^101116111 is an apocalyptic number.

101116111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101116111 is an equidigital number, since it uses as much as digits as its factorization.

101116111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

The square root of 101116111 is about 10055.6506999796. The cubic root of 101116111 is about 465.8793411939.

Adding to 101116111 its reverse (111611101), we get a palindrome (212727212).

The spelling of 101116111 in words is "one hundred one million, one hundred sixteen thousand, one hundred eleven".