2002021220000 has 240 divisors, whose sum is σ = 5016054155112. Its totient is φ = 786101760000.

The previous prime is 2002021219997. The next prime is 2002021220027. The reversal of 2002021220000 is 221202002.

It can be written as a sum of positive squares in 20 ways, for example, as 1983556758544 + 18464461456 = 1408388^2 + 135884^2 .

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 39 ways as a sum of consecutive naturals, for example, 747858662 + ... + 747861338.

Almost surely, 2^{2002021220000} is an apocalyptic number.

2002021220000 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 2002021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508027077556).

2002021220000 is an abundant number, since it is smaller than the sum of its proper divisors (3014032935112).

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

2002021220000 is an equidigital number, since it uses as much as digits as its factorization.

2002021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3358 counting only the distinct ones).

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

Adding to 2002021220000 its reverse (221202002), we get a palindrome (2002242422002).

The spelling of 2002021220000 in words is "two trillion, two billion, twenty-one million, two hundred twenty thousand".