11010000001001 has 8 divisors (see below), whose sum is σ = 11029995905544. Its totient is φ = 10990008910080.

The previous prime is 11010000000929. The next prime is 11010000001009. The reversal of 11010000001001 is 10010000001011.

It can be written as a sum of positive squares in 4 ways, for example, as 540407295376 + 10469592705625 = 735124^2 + 3235675^2 .

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 11010000001001 - 2¹⁴ = 11009999984617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010000001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3391175 + ... + 5789651.

It is an arithmetic number, because the mean of its divisors is an integer number (1378749488193).

Almost surely, 2^{11010000001001} is an apocalyptic number.

It is an amenable number.

11010000001001 is a deficient number, since it is larger than the sum of its proper divisors (19995904543).

11010000001001 is an equidigital number, since it uses as much as digits as its factorization.

11010000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406811.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11010000001001 its reverse (10010000001011), we get a palindrome (21020000002012).

The spelling of 11010000001001 in words is "eleven trillion, ten billion, one thousand, one".