1100001011009 has 2 divisors, whose sum is σ = 1100001011010. Its totient is φ = 1100001011008.

The previous prime is 1100001010993. The next prime is 1100001011033. The reversal of 1100001011009 is 9001101000011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 793337583025 + 306663427984 = 890695^2 + 553772^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100001011009 - 2⁴ = 1100001010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100001010984 and 1100001011002.

It is not a weakly prime, because it can be changed into another prime (1100001011089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000505504 + 550000505505.

It is an arithmetic number, because the mean of its divisors is an integer number (550000505505).

Almost surely, 2^{1100001011009} is an apocalyptic number.

It is an amenable number.

1100001011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001011009 is an equidigital number, since it uses as much as digits as its factorization.

1100001011009 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 14.

The spelling of 1100001011009 in words is "one trillion, one hundred billion, one million, eleven thousand, nine".