2001000001 has 32 divisors (see below), whose sum is σ = 2737421568. Its totient is φ = 1412087040.

The previous prime is 2000999999. The next prime is 2001000013. The reversal of 2001000001 is 1000001002.

It is not a de Polignac number, because 2001000001 - 2¹ = 2000999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34195 + ... + 71911.

It is an arithmetic number, because the mean of its divisors is an integer number (85544424).

Almost surely, 2^2001000001 is an apocalyptic number.

It is an amenable number.

2001000001 is a deficient number, since it is larger than the sum of its proper divisors (736421567).

2001000001 is a wasteful number, since it uses less digits than its factorization.

2001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37801.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2001000001 is about 44732.5385038676. The cubic root of 2001000001 is about 1260.1310019584.

Adding to 2001000001 its reverse (1000001002), we get a palindrome (3001001003).

The spelling of 2001000001 in words is "two billion, one million, one", and thus it is an aban number and an uban number.