11011101010001 has 16 divisors (see below), whose sum is σ = 11248338799824. Its totient is φ = 10776267869184.

The previous prime is 11011101009983. The next prime is 11011101010051. The reversal of 11011101010001 is 10001010111011.

It can be written as a sum of positive squares in 8 ways, for example, as 7119309376 + 11003981700625 = 84376^2 + 3317225^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011101010001 - 2²⁶ = 11011033901137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011101010051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22692215 + ... + 23172371.

It is an arithmetic number, because the mean of its divisors is an integer number (703021174989).

Almost surely, 2^{11011101010001} is an apocalyptic number.

It is an amenable number.

11011101010001 is a deficient number, since it is larger than the sum of its proper divisors (237237789823).

11011101010001 is a wasteful number, since it uses less digits than its factorization.

11011101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482660.

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

Adding to 11011101010001 its reverse (10001010111011), we get a palindrome (21012111121012).

It can be divided in two parts, 110111010 and 10001, that added together give a palindrome (110121011).

The spelling of 11011101010001 in words is "eleven trillion, eleven billion, one hundred one million, ten thousand, one".