10011000011009 has 2 divisors, whose sum is σ = 10011000011010. Its totient is φ = 10011000011008.

The previous prime is 10011000010919. The next prime is 10011000011011. The reversal of 10011000011009 is 90011000011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8215475050225 + 1795524960784 = 2866265^2 + 1339972^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011000011009 - 2¹² = 10011000006913 is a prime.

Together with 10011000011011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011000010984 and 10011000011002.

It is not a weakly prime, because it can be changed into another prime (10011000011059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500005504 + 5005500005505.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500005505).

Almost surely, 2^{10011000011009} is an apocalyptic number.

It is an amenable number.

10011000011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000011009 is an equidigital number, since it uses as much as digits as its factorization.

10011000011009 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 14.

The spelling of 10011000011009 in words is "ten trillion, eleven billion, eleven thousand, nine".