1101101111009 has 2 divisors, whose sum is σ = 1101101111010. Its totient is φ = 1101101111008.

The previous prime is 1101101110997. The next prime is 1101101111017. The reversal of 1101101111009 is 9001111011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 776090521600 + 325010589409 = 880960^2 + 570097^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101101111009 - 2²⁴ = 1101084333793 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 (1101101111029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550555504 + 550550555505.

It is an arithmetic number, because the mean of its divisors is an integer number (550550555505).

Almost surely, 2^{1101101111009} is an apocalyptic number.

It is an amenable number.

1101101111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101111009 is an equidigital number, since it uses as much as digits as its factorization.

1101101111009 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 1101101111009 in words is "one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, nine".