2001020221200 has 1440 divisors, whose sum is σ = 8908087568128. Its totient is φ = 373347532800.

The previous prime is 2001020221169. The next prime is 2001020221201. The reversal of 2001020221200 is 21220201002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2001020221201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 488886354 + ... + 488890446.

Almost surely, 2^{2001020221200} is an apocalyptic number.

2001020221200 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 2001020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454043784064).

2001020221200 is an abundant number, since it is smaller than the sum of its proper divisors (6907067346928).

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

2001020221200 is a wasteful number, since it uses less digits than its factorization.

2001020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001020221200 its reverse (21220201002), we get a palindrome (2022240422202).

The spelling of 2001020221200 in words is "two trillion, one billion, twenty million, two hundred twenty-one thousand, two hundred".