111111111100111 has 2 divisors, whose sum is σ = 111111111100112. Its totient is φ = 111111111100110.

The previous prime is 111111111100097. The next prime is 111111111100217. The reversal of 111111111100111 is 111001111111111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 111111111100111 - 2²³ = 111111102711503 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 111111111100091 and 111111111100100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111111100411) 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 as a sum of consecutive naturals, namely, 55555555550055 + 55555555550056.

It is an arithmetic number, because the mean of its divisors is an integer number (55555555550056).

Almost surely, 2^{111111111100111} is an apocalyptic number.

111111111100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111111100111 is an equidigital number, since it uses as much as digits as its factorization.

111111111100111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 111111111100111 its reverse (111001111111111), we get a palindrome (222112222211222).

It can be divided in two parts, 1111111 and 11100111, that multiplied together give a palindrome (12333455433321).

The spelling of 111111111100111 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred eleven".