2002001012001 has 24 divisors (see below), whose sum is σ = 2913787308744. Its totient is φ = 1324515793920.

The previous prime is 2002001011999. The next prime is 2002001012051. The reversal of 2002001012001 is 1002101002002.

It can be written as a sum of positive squares in 4 ways, for example, as 437502873600 + 1564498138401 = 661440^2 + 1250799^2 .

It is not a de Polignac number, because 2002001012001 - 2¹ = 2002001011999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2002001012051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3766621 + ... + 4265141.

It is an arithmetic number, because the mean of its divisors is an integer number (121407804531).

Almost surely, 2^{2002001012001} is an apocalyptic number.

It is an amenable number.

2002001012001 is a deficient number, since it is larger than the sum of its proper divisors (911786296743).

2002001012001 is a wasteful number, since it uses less digits than its factorization.

2002001012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501921 (or 501918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002001012001 its reverse (1002101002002), we get a palindrome (3004102014003).

Subtracting from 2002001012001 its reverse (1002101002002), we obtain a palindrome (999900009999).

It can be divided in two parts, 200200 and 1012001, that added together give a square (1212201 = 1101²).

The spelling of 2002001012001 in words is "two trillion, two billion, one million, twelve thousand, one".