202120020200 has 192 divisors, whose sum is σ = 573077904000. Its totient is φ = 64751063040.

The previous prime is 202120020199. The next prime is 202120020209. The reversal of 202120020200 is 2020021202.

202120020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202120020209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1889756 + ... + 1993844.

It is an arithmetic number, because the mean of its divisors is an integer number (2984780750).

Almost surely, 2^202120020200 is an apocalyptic number.

202120020200 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 202120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286538952000).

202120020200 is an abundant number, since it is smaller than the sum of its proper divisors (370957883800).

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

202120020200 is a wasteful number, since it uses less digits than its factorization.

202120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104204 (or 104195 counting only the distinct ones).

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

Adding to 202120020200 its reverse (2020021202), we get a palindrome (204140041402).

The spelling of 202120020200 in words is "two hundred two billion, one hundred twenty million, twenty thousand, two hundred".