2002002002221 has 4 divisors (see below), whose sum is σ = 2156002156252. Its totient is φ = 1848001848192.

The previous prime is 2002002002213. The next prime is 2002002002261. The reversal of 2002002002221 is 1222002002002.

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 720716102500 + 1281285899721 = 848950^2 + 1131939^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002002002221 - 2³ = 2002002002213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 154000154017 = 2002002002221 / (2 + 0 + 0 + 2 + 0 + 0 + 2 + 0 + 0 + 2 + 2 + 2 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002002002261) 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, 77000076996 + ... + 77000077021.

It is an arithmetic number, because the mean of its divisors is an integer number (539000539063).

Almost surely, 2^{2002002002221} is an apocalyptic number.

It is an amenable number.

2002002002221 is a deficient number, since it is larger than the sum of its proper divisors (154000154031).

2002002002221 is a wasteful number, since it uses less digits than its factorization.

2002002002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154000154030.

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002002002221 its reverse (1222002002002), we get a palindrome (3224004004223).

The spelling of 2002002002221 in words is "two trillion, two billion, two million, two thousand, two hundred twenty-one".