11001005001 has 24 divisors (see below), whose sum is σ = 18163227264. Its totient is φ = 6285306240.

The previous prime is 11001004991. The next prime is 11001005011. The reversal of 11001005001 is 10050010011.

11001005001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11001004991) and next prime (11001005011).

It is not a de Polignac number, because 11001005001 - 2⁵ = 11001004969 is a prime.

It is a super-2 number, since 2×11001005001² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11001005011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637041 + ... + 654081.

It is an arithmetic number, because the mean of its divisors is an integer number (756801136).

Almost surely, 2^11001005001 is an apocalyptic number.

It is an amenable number.

11001005001 is a deficient number, since it is larger than the sum of its proper divisors (7162222263).

11001005001 is a wasteful number, since it uses less digits than its factorization.

11001005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27301 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 11001005001 its reverse (10050010011), we get a palindrome (21051015012).

The spelling of 11001005001 in words is "eleven billion, one million, five thousand, one".