2002200220000 has 120 divisors (see below), whose sum is σ = 4937433665472. Its totient is φ = 798974400000.

The previous prime is 2002200219997. The next prime is 2002200220019. The reversal of 2002200220000 is 220022002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 8301105 + ... + 8538895.

Almost surely, 2^{2002200220000} is an apocalyptic number.

2002200220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468716832736).

2002200220000 is an abundant number, since it is smaller than the sum of its proper divisors (2935233445472).

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

2002200220000 is an equidigital number, since it uses as much as digits as its factorization.

2002200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238242 (or 238219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2002200220000 its reverse (220022002), we get a palindrome (2002420242002).

It can be divided in two parts, 2002 and 200220000, that added together give a palindrome (200222002).

The spelling of 2002200220000 in words is "two trillion, two billion, two hundred million, two hundred twenty thousand".