2001110002001 has 16 divisors (see below), whose sum is σ = 2237187237120. Its totient is φ = 1774187535120.

The previous prime is 2001110001973. The next prime is 2001110002009. The reversal of 2001110002001 is 1002000111002.

It is a de Polignac number, because none of the positive numbers 2^k-2001110002001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001110002001.

It is not an unprimeable number, because it can be changed into a prime (2001110002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2898215 + ... + 3521628.

It is an arithmetic number, because the mean of its divisors is an integer number (139824202320).

Almost surely, 2^{2001110002001} is an apocalyptic number.

It is an amenable number.

2001110002001 is a deficient number, since it is larger than the sum of its proper divisors (236077235119).

2001110002001 is a wasteful number, since it uses less digits than its factorization.

2001110002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420556.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001110002001 its reverse (1002000111002), we get a palindrome (3003110113003).

The spelling of 2001110002001 in words is "two trillion, one billion, one hundred ten million, two thousand, one".