212102221012200 has 72 divisors (see below), whose sum is σ = 712309958905350. Its totient is φ = 56560592269440.

The previous prime is 212102221012151. The next prime is 212102221012207. The reversal of 212102221012200 is 2210122201212.

It is a happy number.

212102221012200 is a `hidden beast` number, since 2 + 1 + 210 + 22 + 210 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 136997707978404 + 75104513033796 = 11704602^2 + 8666286^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212102221012207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58917281815 + ... + 58917285414.

Almost surely, 2^{212102221012200} is an apocalyptic number.

212102221012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102221012200 is an abundant number, since it is smaller than the sum of its proper divisors (500207737893150).

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

212102221012200 is a wasteful number, since it uses less digits than its factorization.

212102221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117834567251 (or 117834567239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102221012200 its reverse (2210122201212), we get a palindrome (214312343213412).

The spelling of 212102221012200 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty-one million, twelve thousand, two hundred".