11000001001 has 16 divisors (see below), whose sum is σ = 12272313600. Its totient is φ = 9775584000.

The previous prime is 11000000983. The next prime is 11000001007. The reversal of 11000001001 is 10010000011.

It is a cyclic number.

It is not a de Polignac number, because 11000001001 - 2⁵ = 11000000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000001007) 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 15 ways as a sum of consecutive naturals, for example, 25105 + ... + 150433.

It is an arithmetic number, because the mean of its divisors is an integer number (767019600).

Almost surely, 2^11000001001 is an apocalyptic number.

11000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000001001 is a deficient number, since it is larger than the sum of its proper divisors (1272312599).

11000001001 is a wasteful number, since it uses less digits than its factorization.

11000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125520.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11000001001 its reverse (10010000011), we get a palindrome (21010001012).

The spelling of 11000001001 in words is "eleven billion, one thousand, one".