11011001101101 has 12 divisors (see below), whose sum is σ = 16011522855900. Its totient is φ = 7291401175680.

The previous prime is 11011001101099. The next prime is 11011001101151. The reversal of 11011001101101 is 10110110011011.

11011001101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1571199575625 + 9439801525476 = 1253475^2 + 3072426^2 .

It is not a de Polignac number, because 11011001101101 - 2¹ = 11011001101099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001101151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4105517340 + ... + 4105520021.

It is an arithmetic number, because the mean of its divisors is an integer number (1334293571325).

Almost surely, 2^{11011001101101} is an apocalyptic number.

It is an amenable number.

11011001101101 is a deficient number, since it is larger than the sum of its proper divisors (5000521754799).

11011001101101 is a wasteful number, since it uses less digits than its factorization.

11011001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211037516 (or 8211037513 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011001101101 its reverse (10110110011011), we get a palindrome (21121111112112).

The spelling of 11011001101101 in words is "eleven trillion, eleven billion, one million, one hundred one thousand, one hundred one".