2002020021001 has 48 divisors (see below), whose sum is σ = 2736616639680. Its totient is φ = 1439704264320.

The previous prime is 2002020020981. The next prime is 2002020021019. The reversal of 2002020021001 is 1001200202002.

It is not a de Polignac number, because 2002020021001 - 2³⁹ = 1452264207113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002020021041) 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 47 ways as a sum of consecutive naturals, for example, 35420175 + ... + 35476651.

It is an arithmetic number, because the mean of its divisors is an integer number (57012846660).

Almost surely, 2^{2002020021001} is an apocalyptic number.

It is an amenable number.

2002020021001 is a deficient number, since it is larger than the sum of its proper divisors (734596618679).

2002020021001 is a wasteful number, since it uses less digits than its factorization.

2002020021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61574 (or 61567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002020021001 its reverse (1001200202002), we get a palindrome (3003220223003).

It can be divided in two parts, 200202002 and 1001, that multiplied together give a palindrome (200402204002).

The spelling of 2002020021001 in words is "two trillion, two billion, twenty million, twenty-one thousand, one".