212101203200 has 108 divisors (see below), whose sum is σ = 532820272320. Its totient is φ = 83574036480.

The previous prime is 212101203151. The next prime is 212101203221. The reversal of 212101203200 is 2302101212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181481 + ... + 676119.

It is an arithmetic number, because the mean of its divisors is an integer number (4933521040).

Almost surely, 2^212101203200 is an apocalyptic number.

212101203200 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 212101203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266410136160).

212101203200 is an abundant number, since it is smaller than the sum of its proper divisors (320719069120).

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

212101203200 is an equidigital number, since it uses as much as digits as its factorization.

212101203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494732 (or 494713 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212101203200 its reverse (2302101212), we get a palindrome (214403304412).

The spelling of 212101203200 in words is "two hundred twelve billion, one hundred one million, two hundred three thousand, two hundred".