2002200202001 has 8 divisors (see below), whose sum is σ = 2056510838184. Its totient is φ = 1947899940480.

The previous prime is 2002200201997. The next prime is 2002200202043. The reversal of 2002200202001 is 1002020022002.

It can be written as a sum of positive squares in 4 ways, for example, as 1567654243600 + 434545958401 = 1252060^2 + 659201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002200202001 - 2² = 2002200201997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002200202081) 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 7 ways as a sum of consecutive naturals, for example, 2201660 + ... + 2975181.

It is an arithmetic number, because the mean of its divisors is an integer number (257063854773).

Almost surely, 2^{2002200202001} is an apocalyptic number.

It is an amenable number.

2002200202001 is a deficient number, since it is larger than the sum of its proper divisors (54310636183).

2002200202001 is a wasteful number, since it uses less digits than its factorization.

2002200202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187331.

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

Adding to 2002200202001 its reverse (1002020022002), we get a palindrome (3004220224003).

The spelling of 2002200202001 in words is "two trillion, two billion, two hundred million, two hundred two thousand, one".