212212100 has 36 divisors (see below), whose sum is σ = 464748900. Its totient is φ = 84101760.

The previous prime is 212212093. The next prime is 212212123. The reversal of 212212100 is 1212212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2483776 + 209728324 = 1576^2 + 14482^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166 + ... + 20634.

Almost surely, 2^212212100 is an apocalyptic number.

212212100 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 212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232374450).

212212100 is an abundant number, since it is smaller than the sum of its proper divisors (252536800).

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

212212100 is a wasteful number, since it uses less digits than its factorization.

212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19592 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 212212100 is about 14567.5015016303. The cubic root of 212212100 is about 596.4719809817.

Adding to 212212100 its reverse (1212212), we get a palindrome (213424312).

The spelling of 212212100 in words is "two hundred twelve million, two hundred twelve thousand, one hundred".