200212220220100 has 432 divisors, whose sum is σ = 492480766744848. Its totient is φ = 70572902400000.

The previous prime is 200212220220017. The next prime is 200212220220113. The reversal of 200212220220100 is 1022022212002.

It can be written as a sum of positive squares in 24 ways, for example, as 131250888164484 + 68961332055616 = 11456478^2 + 8304296^2 .

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 143 ways as a sum of consecutive naturals, for example, 12222213910 + ... + 12222230290.

Almost surely, 2^{200212220220100} is an apocalyptic number.

200212220220100 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 200212220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240383372424).

200212220220100 is an abundant number, since it is smaller than the sum of its proper divisors (292268546524748).

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

200212220220100 is a wasteful number, since it uses less digits than its factorization.

200212220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200212220220100 its reverse (1022022212002), we get a palindrome (201234242432102).

It can be divided in two parts, 2002122 and 20220100, that added together give a palindrome (22222222).

The spelling of 200212220220100 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty thousand, one hundred".