201200211000000 has 588 divisors, whose sum is σ = 725043363388656. Its totient is φ = 53342841600000.

The previous prime is 201200210999989. The next prime is 201200211000037. The reversal of 201200211000000 is 112002102.

201200211000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1556935389 + ... + 1557064611.

Almost surely, 2^{201200211000000} is an apocalyptic number.

201200211000000 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 201200211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362521681694328).

201200211000000 is an abundant number, since it is smaller than the sum of its proper divisors (523843152388656).

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

201200211000000 is an equidigital number, since it uses as much as digits as its factorization.

201200211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129444 (or 129406 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201200211000000 its reverse (112002102), we get a palindrome (201200323002102).

The spelling of 201200211000000 in words is "two hundred one trillion, two hundred billion, two hundred eleven million", and thus it is an aban number.