212200213330100 has 72 divisors (see below), whose sum is σ = 462857845748760. Its totient is φ = 84440837662720.

The previous prime is 212200213330099. The next prime is 212200213330103. The reversal of 212200213330100 is 1033312002212.

It can be written as a sum of positive squares in 12 ways, for example, as 5819808855184 + 206380404474916 = 2412428^2 + 14365946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200213330103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199799672 + ... + 200858928.

It is an arithmetic number, because the mean of its divisors is an integer number (6428581190955).

Almost surely, 2^{212200213330100} is an apocalyptic number.

212200213330100 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 212200213330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231428922874380).

212200213330100 is an abundant number, since it is smaller than the sum of its proper divisors (250657632418660).

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

212200213330100 is a wasteful number, since it uses less digits than its factorization.

212200213330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069637 (or 1069630 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212200213330100 its reverse (1033312002212), we get a palindrome (213233525332312).

The spelling of 212200213330100 in words is "two hundred twelve trillion, two hundred billion, two hundred thirteen million, three hundred thirty thousand, one hundred".