110001011111009 has 2 divisors, whose sum is σ = 110001011111010. Its totient is φ = 110001011111008.

The previous prime is 110001011110993. The next prime is 110001011111053. The reversal of 110001011111009 is 900111110100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65990683606225 + 44010327504784 = 8123465^2 + 6634028^2 .

It is an emirp because it is prime and its reverse (900111110100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110001011111009 - 2⁴ = 110001011110993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (110001011111209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000505555504 + 55000505555505.

It is an arithmetic number, because the mean of its divisors is an integer number (55000505555505).

Almost surely, 2^{110001011111009} is an apocalyptic number.

It is an amenable number.

110001011111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001011111009 is an equidigital number, since it uses as much as digits as its factorization.

110001011111009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 110001011111009 in words is "one hundred ten trillion, one billion, eleven million, one hundred eleven thousand, nine".