2002200202002 has 128 divisors (see below), whose sum is σ = 5377260349440. Its totient is φ = 479983472640.

The previous prime is 2002200201997. The next prime is 2002200202043. The reversal of 2002200202002 is 2002020022002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56552818 + ... + 56588210.

It is an arithmetic number, because the mean of its divisors is an integer number (42009846480).

Almost surely, 2^{2002200202002} is an apocalyptic number.

2002200202002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002200202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688630174720).

2002200202002 is an abundant number, since it is smaller than the sum of its proper divisors (3375060147438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002200202002 is a wasteful number, since it uses less digits than its factorization.

2002200202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44848.

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2002200202002 its reverse (2002020022002), we get a palindrome (4004220224004).

It can be divided in two parts, 2002 and 200202002, that multiplied together give a palindrome (400804408004).

The spelling of 2002200202002 in words is "two trillion, two billion, two hundred million, two hundred two thousand, two".