2002001020221 has 16 divisors (see below), whose sum is σ = 2689742274624. Its totient is φ = 1324470248064.

The previous prime is 2002001020211. The next prime is 2002001020241. The reversal of 2002001020221 is 1220201002002.

It is not a de Polignac number, because 2002001020221 - 2¹⁹ = 2002000495933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002001020197 and 2002001020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001020211) 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, 363946 + ... + 2033828.

It is an arithmetic number, because the mean of its divisors is an integer number (168108892164).

Almost surely, 2^{2002001020221} is an apocalyptic number.

It is an amenable number.

2002001020221 is a deficient number, since it is larger than the sum of its proper divisors (687741254403).

2002001020221 is a wasteful number, since it uses less digits than its factorization.

2002001020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672940.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002001020221 its reverse (1220201002002), we get a palindrome (3222202022223).

The spelling of 2002001020221 in words is "two trillion, two billion, one million, twenty thousand, two hundred twenty-one".