11011100101001 has 48 divisors (see below), whose sum is σ = 14921520899712. Its totient is φ = 7906574903040.

The previous prime is 11011100100901. The next prime is 11011100101007. The reversal of 11011100101001 is 10010100111011.

It is a de Polignac number, because none of the positive numbers 2^k-11011100101001 is a 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 11011100101001.

It is not an unprimeable number, because it can be changed into a prime (11011100101007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5611661 + ... + 7315253.

It is an arithmetic number, because the mean of its divisors is an integer number (310865018744).

Almost surely, 2^{11011100101001} is an apocalyptic number.

11011100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011100101001 is a deficient number, since it is larger than the sum of its proper divisors (3910420798711).

11011100101001 is a wasteful number, since it uses less digits than its factorization.

11011100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704222 (or 1704211 counting only the distinct ones).

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

Adding to 11011100101001 its reverse (10010100111011), we get a palindrome (21021200212012).

It can be divided in two parts, 1101110010 and 1001, that added together give a palindrome (1101111011).

The spelling of 11011100101001 in words is "eleven trillion, eleven billion, one hundred million, one hundred one thousand, one".