2002221120300 has 72 divisors (see below), whose sum is σ = 5811963385536. Its totient is φ = 532186436160.

The previous prime is 2002221120283. The next prime is 2002221120307. The reversal of 2002221120300 is 30211222002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002221120300.

It is not an unprimeable number, because it can be changed into a prime (2002221120307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10777722 + ... + 10961921.

It is an arithmetic number, because the mean of its divisors is an integer number (80721713688).

Almost surely, 2^{2002221120300} is an apocalyptic number.

2002221120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002221120300 is an abundant number, since it is smaller than the sum of its proper divisors (3809742265236).

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

2002221120300 is a wasteful number, since it uses less digits than its factorization.

2002221120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21739967 (or 21739960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2002221120300 its reverse (30211222002), we get a palindrome (2032432342302).

The spelling of 2002221120300 in words is "two trillion, two billion, two hundred twenty-one million, one hundred twenty thousand, three hundred".