110111001011009 has 2 divisors, whose sum is σ = 110111001011010. Its totient is φ = 110111001011008.

The previous prime is 110111001010979. The next prime is 110111001011021. The reversal of 110111001011009 is 900110100111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79535575465984 + 30575425545025 = 8918272^2 + 5529505^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111001011009 - 2⁴⁰ = 109011489383233 is a prime.

It is not a weakly prime, because it can be changed into another prime (110111000011009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055500505504 + 55055500505505.

It is an arithmetic number, because the mean of its divisors is an integer number (55055500505505).

Almost surely, 2^{110111001011009} is an apocalyptic number.

It is an amenable number.

110111001011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111001011009 is an equidigital number, since it uses as much as digits as its factorization.

110111001011009 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 110111001011009 in words is "one hundred ten trillion, one hundred eleven billion, one million, eleven thousand, nine".