2001001000001 has 4 divisors (see below), whose sum is σ = 2002383863232. Its totient is φ = 1999618136772.

The previous prime is 2001000999983. The next prime is 2001001000039. The reversal of 2001001000001 is 1000001001002.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001001000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001001000091) 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 3 ways as a sum of consecutive naturals, for example, 691429445 + ... + 691432338.

It is an arithmetic number, because the mean of its divisors is an integer number (500595965808).

Almost surely, 2^{2001001000001} is an apocalyptic number.

It is an amenable number.

2001001000001 is a deficient number, since it is larger than the sum of its proper divisors (1382863231).

2001001000001 is a wasteful number, since it uses less digits than its factorization.

2001001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382863230.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2001001000001 its reverse (1000001001002), we get a palindrome (3001002001003).

The spelling of 2001001000001 in words is "two trillion, one billion, one million, one", and thus it is an aban number and an uban number.