2002120221072 has 320 divisors, whose sum is σ = 5582008442880. Its totient is φ = 616877893632.

The previous prime is 2002120221071. The next prime is 2002120221149. The reversal of 2002120221072 is 2701220212002.

It is not an unprimeable number, because it can be changed into a prime (2002120221071) 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 63 ways as a sum of consecutive naturals, for example, 1458207778 + ... + 1458209150.

It is an arithmetic number, because the mean of its divisors is an integer number (17443776384).

Almost surely, 2^{2002120221072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002120221072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791004221440).

2002120221072 is an abundant number, since it is smaller than the sum of its proper divisors (3579888221808).

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

2002120221072 is a wasteful number, since it uses less digits than its factorization.

2002120221072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 2002120221072 its reverse (2701220212002), we get a palindrome (4703340433074).

The spelling of 2002120221072 in words is "two trillion, two billion, one hundred twenty million, two hundred twenty-one thousand, seventy-two".