11001100111001 has 48 divisors (see below), whose sum is σ = 14863464023040. Its totient is φ = 7906699719360.

The previous prime is 11001100110989. The next prime is 11001100111013. The reversal of 11001100111001 is 10011100110011.

It is an interprime number because it is at equal distance from previous prime (11001100110989) and next prime (11001100111013).

It is not a de Polignac number, because 11001100111001 - 2³⁰ = 11000026369177 is a prime.

It is a Duffinian number.

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 11001100111001.

It is not an unprimeable number, because it can be changed into a prime (11001100111051) 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, 16366220 + ... + 17025138.

It is an arithmetic number, because the mean of its divisors is an integer number (309655500480).

Almost surely, 2^{11001100111001} is an apocalyptic number.

11001100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001100111001 is a deficient number, since it is larger than the sum of its proper divisors (3862363912039).

11001100111001 is a wasteful number, since it uses less digits than its factorization.

11001100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660246 (or 660233 counting only the distinct ones).

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

Adding to 11001100111001 its reverse (10011100110011), we get a palindrome (21012200221012).

It can be divided in two parts, 1100110011 and 1001, that multiplied together give a palindrome (1101210121011).

The spelling of 11001100111001 in words is "eleven trillion, one billion, one hundred million, one hundred eleven thousand, one".