11000101101001 has 8 divisors (see below), whose sum is σ = 11390897721600. Its totient is φ = 10610069999760.

The previous prime is 11000101100971. The next prime is 11000101101047. The reversal of 11000101101001 is 10010110100011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11000101101001 - 2¹¹ = 11000101098953 is a prime.

It is a Duffinian number.

11000101101001 is a modest number, since divided by 1101001 gives 110001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11000101104001) 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 7 ways as a sum of consecutive naturals, for example, 191350591 + ... + 191408068.

It is an arithmetic number, because the mean of its divisors is an integer number (1423862215200).

Almost surely, 2^{11000101101001} is an apocalyptic number.

It is an amenable number.

11000101101001 is a deficient number, since it is larger than the sum of its proper divisors (390796620599).

11000101101001 is an equidigital number, since it uses as much as digits as its factorization.

11000101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382759679.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000101101001 its reverse (10010110100011), we get a palindrome (21010211201012).

The spelling of 11000101101001 in words is "eleven trillion, one hundred one million, one hundred one thousand, one".