202201210200 has 192 divisors, whose sum is σ = 684727960320. Its totient is φ = 48952512000.

The previous prime is 202201210177. The next prime is 202201210207. The reversal of 202201210200 is 2012102202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201210207) 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 47 ways as a sum of consecutive naturals, for example, 4975965 + ... + 5016435.

It is an arithmetic number, because the mean of its divisors is an integer number (3566291460).

Almost surely, 2^202201210200 is an apocalyptic number.

202201210200 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 202201210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342363980160).

202201210200 is an abundant number, since it is smaller than the sum of its proper divisors (482526750120).

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

202201210200 is a wasteful number, since it uses less digits than its factorization.

202201210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41258 (or 41249 counting only the distinct ones).

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

Adding to 202201210200 its reverse (2012102202), we get a palindrome (204213312402).

The spelling of 202201210200 in words is "two hundred two billion, two hundred one million, two hundred ten thousand, two hundred".