110100011111009 has 2 divisors, whose sum is σ = 110100011111010. Its totient is φ = 110100011111008.

The previous prime is 110100011110993. The next prime is 110100011111023. The reversal of 110100011111009 is 900111110001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57794889267025 + 52305121843984 = 7602295^2 + 7232228^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100011111009 - 2⁴ = 110100011110993 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100011111029) 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, 55050005555504 + 55050005555505.

It is an arithmetic number, because the mean of its divisors is an integer number (55050005555505).

Almost surely, 2^{110100011111009} is an apocalyptic number.

It is an amenable number.

110100011111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100011111009 is an equidigital number, since it uses as much as digits as its factorization.

110100011111009 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 110100011111009 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred eleven thousand, nine".