11001100001001 has 32 divisors (see below), whose sum is σ = 16618114411008. Its totient is φ = 6415080819840.

The previous prime is 11001100000999. The next prime is 11001100001033. The reversal of 11001100001001 is 10010000110011.

It is not a de Polignac number, because 11001100001001 - 2¹ = 11001100000999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001100001401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57760996 + ... + 57951141.

It is an arithmetic number, because the mean of its divisors is an integer number (519316075344).

Almost surely, 2^{11001100001001} is an apocalyptic number.

11001100001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001100001001 is a deficient number, since it is larger than the sum of its proper divisors (5617014410007).

11001100001001 is a wasteful number, since it uses less digits than its factorization.

11001100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115712261.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001100001001 its reverse (10010000110011), we get a palindrome (21011100111012).

The spelling of 11001100001001 in words is "eleven trillion, one billion, one hundred million, one thousand, one".