11001101101009 has 32 divisors (see below), whose sum is σ = 12012427871136. Its totient is φ = 10033799086080.

The previous prime is 11001101100961. The next prime is 11001101101019. The reversal of 11001101101009 is 90010110110011.

It can be written as a sum of positive squares in 16 ways, for example, as 6279519774609 + 4721581326400 = 2505897^2 + 2172920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11001101101009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001101100983 and 11001101101001.

It is not an unprimeable number, because it can be changed into a prime (11001101101019) 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, 84654727 + ... + 84784579.

It is an arithmetic number, because the mean of its divisors is an integer number (375388370973).

Almost surely, 2^{11001101101009} is an apocalyptic number.

It is an amenable number.

11001101101009 is a deficient number, since it is larger than the sum of its proper divisors (1011326770127).

11001101101009 is a wasteful number, since it uses less digits than its factorization.

11001101101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130725.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 11001101101009 in words is "eleven trillion, one billion, one hundred one million, one hundred one thousand, nine".