11010001011001 has 8 divisors (see below), whose sum is σ = 11021866001640. Its totient is φ = 10998136676352.

The previous prime is 11010001010969. The next prime is 11010001011017. The reversal of 11010001011001 is 10011010001011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1251724628025 + 9758276382976 = 1118805^2 + 3123824^2 .

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 11010001011001 - 2⁵ = 11010001010969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010001041001) 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, 38252041 + ... + 38538793.

It is an arithmetic number, because the mean of its divisors is an integer number (1377733250205).

Almost surely, 2^{11010001011001} is an apocalyptic number.

It is an amenable number.

11010001011001 is a deficient number, since it is larger than the sum of its proper divisors (11864990639).

11010001011001 is an equidigital number, since it uses as much as digits as its factorization.

11010001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327995.

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

Adding to 11010001011001 its reverse (10011010001011), we get a palindrome (21021011012012).

It can be divided in two parts, 110100010 and 11001, that added together give a palindrome (110111011).

The spelling of 11010001011001 in words is "eleven trillion, ten billion, one million, eleven thousand, one".