11010101101001 has 2 divisors, whose sum is σ = 11010101101002. Its totient is φ = 11010101101000.

The previous prime is 11010101100991. The next prime is 11010101101037. The reversal of 11010101101001 is 10010110101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10751578681600 + 258522419401 = 3278960^2 + 508451^2 .

It is an emirp because it is prime and its reverse (10010110101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11010101101001 - 2³⁸ = 10735223194057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11010101101001.

It is not a weakly prime, because it can be changed into another prime (11010101101081) 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, 5505050550500 + 5505050550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5505050550501).

Almost surely, 2^{11010101101001} is an apocalyptic number.

It is an amenable number.

11010101101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010101101001 is an equidigital number, since it uses as much as digits as its factorization.

11010101101001 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 11010101101001 its reverse (10010110101011), we get a palindrome (21020211202012).

The spelling of 11010101101001 in words is "eleven trillion, ten billion, one hundred one million, one hundred one thousand, one".