11010105505601 has 2 divisors, whose sum is σ = 11010105505602. Its totient is φ = 11010105505600.

The previous prime is 11010105505523. The next prime is 11010105505639. The reversal of 11010105505601 is 10650550101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10485421134400 + 524684371201 = 3238120^2 + 724351^2 .

It is an emirp because it is prime and its reverse (10650550101011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11010105505601 is a prime.

It is not a weakly prime, because it can be changed into another prime (11010105505681) 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, 5505052752800 + 5505052752801.

It is an arithmetic number, because the mean of its divisors is an integer number (5505052752801).

Almost surely, 2^{11010105505601} is an apocalyptic number.

It is an amenable number.

11010105505601 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010105505601 is an equidigital number, since it uses as much as digits as its factorization.

11010105505601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 11010105505601 its reverse (10650550101011), we get a palindrome (21660655606612).

The spelling of 11010105505601 in words is "eleven trillion, ten billion, one hundred five million, five hundred five thousand, six hundred one".