111110111011001 has 2 divisors, whose sum is σ = 111110111011002. Its totient is φ = 111110111011000.

The previous prime is 111110111010979. The next prime is 111110111011007. The reversal of 111110111011001 is 100110111011111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107709609048976 + 3400501962025 = 10378324^2 + 1844045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111110111011001 is a prime.

It is not a weakly prime, because it can be changed into another prime (111110111011007) 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, 55555055505500 + 55555055505501.

It is an arithmetic number, because the mean of its divisors is an integer number (55555055505501).

Almost surely, 2^{111110111011001} is an apocalyptic number.

It is an amenable number.

111110111011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110111011001 is an equidigital number, since it uses as much as digits as its factorization.

111110111011001 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 11.

Adding to 111110111011001 its reverse (100110111011111), we get a palindrome (211220222022112).

The spelling of 111110111011001 in words is "one hundred eleven trillion, one hundred ten billion, one hundred eleven million, eleven thousand, one".