1100111111009 has 2 divisors, whose sum is σ = 1100111111010. Its totient is φ = 1100111111008.

The previous prime is 1100111110951. The next prime is 1100111111017. The reversal of 1100111111009 is 9001111110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 703129206784 + 396981904225 = 838528^2 + 630065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111111009 - 2²⁸ = 1099842675553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100111111059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055555504 + 550055555505.

It is an arithmetic number, because the mean of its divisors is an integer number (550055555505).

Almost surely, 2^{1100111111009} is an apocalyptic number.

It is an amenable number.

1100111111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100111111009 is an equidigital number, since it uses as much as digits as its factorization.

1100111111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 1100111111009 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, nine".