2002200221 has 18 divisors (see below), whose sum is σ = 2458147230. Its totient is φ = 1625832432.

The previous prime is 2002200197. The next prime is 2002200251. The reversal of 2002200221 is 1220022002.

It can be written as a sum of positive squares in only one way, i.e., 1645519225 + 356680996 = 40565^2 + 18886^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2002200221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200251) 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 17 ways as a sum of consecutive naturals, for example, 38906 + ... + 74283.

It is an arithmetic number, because the mean of its divisors is an integer number (136563735).

Almost surely, 2^2002200221 is an apocalyptic number.

It is an amenable number.

2002200221 is a deficient number, since it is larger than the sum of its proper divisors (455947009).

2002200221 is a wasteful number, since it uses less digits than its factorization.

2002200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113241 (or 113215 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2002200221 is about 44745.9520068576. The cubic root of 2002200221 is about 1260.3828980336.

Adding to 2002200221 its reverse (1220022002), we get a palindrome (3222222223).

The spelling of 2002200221 in words is "two billion, two million, two hundred thousand, two hundred twenty-one".