212221200100 has 288 divisors, whose sum is σ = 603536371200. Its totient is φ = 64241210880.

The previous prime is 212221200097. The next prime is 212221200137. The reversal of 212221200100 is 1002122212.

It is a happy number.

212221200100 is digitally balanced in base 2 and base 3, because in such bases 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 (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10245354 + ... + 10266046.

It is an arithmetic number, because the mean of its divisors is an integer number (2095612400).

Almost surely, 2^212221200100 is an apocalyptic number.

212221200100 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 212221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301768185600).

212221200100 is an abundant number, since it is smaller than the sum of its proper divisors (391315171100).

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

212221200100 is a wasteful number, since it uses less digits than its factorization.

212221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764 (or 20743 counting only the distinct ones).

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

Adding to 212221200100 its reverse (1002122212), we get a palindrome (213223322312).

The spelling of 212221200100 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred thousand, one hundred".