2001002000001 has 16 divisors (see below), whose sum is σ = 2718422558784. Its totient is φ = 1308792873024.

The previous prime is 2001001999999. The next prime is 2001002000009. The reversal of 2001002000001 is 1000002001002.

It is a happy number.

It is not a de Polignac number, because 2001002000001 - 2¹ = 2001001999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001002000009) 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 15 ways as a sum of consecutive naturals, for example, 5830170 + ... + 6163836.

It is an arithmetic number, because the mean of its divisors is an integer number (169901409924).

Almost surely, 2^{2001002000001} is an apocalyptic number.

It is an amenable number.

2001002000001 is a deficient number, since it is larger than the sum of its proper divisors (717420558783).

2001002000001 is a wasteful number, since it uses less digits than its factorization.

2001002000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371440.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2001002000001 its reverse (1000002001002), we get a palindrome (3001004001003).

The spelling of 2001002000001 in words is "two trillion, one billion, two million, one", and thus it is an aban number and an uban number.