212201100212200 has 768 divisors, whose sum is σ = 564804332352000. Its totient is φ = 73466726400000.

The previous prime is 212201100212191. The next prime is 212201100212287. The reversal of 212201100212200 is 2212001102212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380971454322 + ... + 380971454878.

It is an arithmetic number, because the mean of its divisors is an integer number (735422307750).

Almost surely, 2^{212201100212200} is an apocalyptic number.

212201100212200 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 212201100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282402166176000).

212201100212200 is an abundant number, since it is smaller than the sum of its proper divisors (352603232139800).

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

212201100212200 is a wasteful number, since it uses less digits than its factorization.

212201100212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212201100212200 its reverse (2212001102212), we get a palindrome (214413101314412).

The spelling of 212201100212200 in words is "two hundred twelve trillion, two hundred one billion, one hundred million, two hundred twelve thousand, two hundred".