202011212000200 has 192 divisors, whose sum is σ = 500127877267200. Its totient is φ = 75619572019200.

The previous prime is 202011212000197. The next prime is 202011212000219. The reversal of 202011212000200 is 2000212110202.

It is a happy number.

202011212000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4774867447 + ... + 4774909753.

It is an arithmetic number, because the mean of its divisors is an integer number (2604832694100).

Almost surely, 2^{202011212000200} is an apocalyptic number.

202011212000200 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 202011212000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250063938633600).

202011212000200 is an abundant number, since it is smaller than the sum of its proper divisors (298116665267000).

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

202011212000200 is a wasteful number, since it uses less digits than its factorization.

202011212000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50280 (or 50271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202011212000200 its reverse (2000212110202), we get a palindrome (204011424110402).

The spelling of 202011212000200 in words is "two hundred two trillion, eleven billion, two hundred twelve million, two hundred", and thus it is an aban number.