11011111100101 has 16 divisors (see below), whose sum is σ = 13324552932096. Its totient is φ = 8882791024896.

The previous prime is 11011111100069. The next prime is 11011111100147. The reversal of 11011111100101 is 10100111111011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11011111100101 - 2⁵ = 11011111100069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111100191) 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 in 15 ways as a sum of consecutive naturals, for example, 8618815 + ... + 9813571.

It is an arithmetic number, because the mean of its divisors is an integer number (832784558256).

Almost surely, 2^{11011111100101} is an apocalyptic number.

It is an amenable number.

11011111100101 is a deficient number, since it is larger than the sum of its proper divisors (2313441831995).

11011111100101 is a wasteful number, since it uses less digits than its factorization.

11011111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272228.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11011111100101 its reverse (10100111111011), we get a palindrome (21111222211112).

The spelling of 11011111100101 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred one".