212100020200 has 96 divisors (see below), whose sum is σ = 515189403000. Its totient is φ = 81103232000.

The previous prime is 212100020159. The next prime is 212100020201. The reversal of 212100020200 is 2020001212.

212100020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 64350498276 + 147749521924 = 253674^2 + 384382^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212100020201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 404766 + ... + 766834.

Almost surely, 2^212100020200 is an apocalyptic number.

212100020200 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 212100020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257594701500).

212100020200 is an abundant number, since it is smaller than the sum of its proper divisors (303089382800).

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

212100020200 is a wasteful number, since it uses less digits than its factorization.

212100020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362215 (or 362206 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212100020200 its reverse (2020001212), we get a palindrome (214120021412).

The spelling of 212100020200 in words is "two hundred twelve billion, one hundred million, twenty thousand, two hundred".