11122011011009 has 2 divisors, whose sum is σ = 11122011011010. Its totient is φ = 11122011011008.

The previous prime is 11122011010997. The next prime is 11122011011011. The reversal of 11122011011009 is 90011011022111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11051535628225 + 70475382784 = 3324385^2 + 265472^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122011011009 - 2¹² = 11122011006913 is a prime.

Together with 11122011011011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11122011071009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561005505504 + 5561005505505.

It is an arithmetic number, because the mean of its divisors is an integer number (5561005505505).

Almost surely, 2^{11122011011009} is an apocalyptic number.

It is an amenable number.

11122011011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122011011009 is an equidigital number, since it uses as much as digits as its factorization.

11122011011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 11122011011009 in words is "eleven trillion, one hundred twenty-two billion, eleven million, eleven thousand, nine".