111001110001 has 2 divisors, whose sum is σ = 111001110002. Its totient is φ = 111001110000.

The previous prime is 111001109983. The next prime is 111001110041. The reversal of 111001110001 is 100011100111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90709392400 + 20291717601 = 301180^2 + 142449^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001110001 - 2⁷ = 111001109873 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001110041) 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, 55500555000 + 55500555001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500555001).

Almost surely, 2^111001110001 is an apocalyptic number.

It is an amenable number.

111001110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001110001 is an equidigital number, since it uses as much as digits as its factorization.

111001110001 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 7.

Adding to 111001110001 its reverse (100011100111), we get a palindrome (211012210112).

The spelling of 111001110001 in words is "one hundred eleven billion, one million, one hundred ten thousand, one".