2002001110001 has 4 divisors (see below), whose sum is σ = 2002127030004. Its totient is φ = 2001875190000.

The previous prime is 2002001109989. The next prime is 2002001110099. The reversal of 2002001110001 is 1000111002002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1782227670001 + 219773440000 = 1335001^2 + 468800^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002001110001 - 2¹⁰ = 2002001108977 is a prime.

It is a super-2 number, since 2×2002001110001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002001110201) 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 3 ways as a sum of consecutive naturals, for example, 62936150 + ... + 62967951.

It is an arithmetic number, because the mean of its divisors is an integer number (500531757501).

Almost surely, 2^{2002001110001} is an apocalyptic number.

It is an amenable number.

2002001110001 is a deficient number, since it is larger than the sum of its proper divisors (125920003).

2002001110001 is a wasteful number, since it uses less digits than its factorization.

2002001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125920002.

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

Adding to 2002001110001 its reverse (1000111002002), we get a palindrome (3002112112003).

The spelling of 2002001110001 in words is "two trillion, two billion, one million, one hundred ten thousand, one".