11001101011001 has 2 divisors, whose sum is σ = 11001101011002. Its totient is φ = 11001101011000.

The previous prime is 11001101010919. The next prime is 11001101011009. The reversal of 11001101011001 is 10011010110011.

It is an a-pointer prime, because the next prime (11001101011009) can be obtained adding 11001101011001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8966700858025 + 2034400152976 = 2994445^2 + 1426324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11001101011001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001101011001.

It is not a weakly prime, because it can be changed into another prime (11001101011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500550505500 + 5500550505501.

It is an arithmetic number, because the mean of its divisors is an integer number (5500550505501).

Almost surely, 2^{11001101011001} is an apocalyptic number.

It is an amenable number.

11001101011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001101011001 is an equidigital number, since it uses as much as digits as its factorization.

11001101011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11001101011001 its reverse (10011010110011), we get a palindrome (21012111121012).

The spelling of 11001101011001 in words is "eleven trillion, one billion, one hundred one million, eleven thousand, one".