212110100 has 36 divisors (see below), whose sum is σ = 464858268. Its totient is φ = 84000000.

The previous prime is 212110079. The next prime is 212110109. The reversal of 212110100 is 1011212.

212110100 is digitally balanced in base 3, 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 6 ways, for example, as 4 + 212110096 = 2^2 + 14564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110109) by changing a digit.

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, 401 + ... + 20600.

Almost surely, 2^212110100 is an apocalyptic number.

212110100 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 212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232429134).

212110100 is an abundant number, since it is smaller than the sum of its proper divisors (252748168).

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

212110100 is a wasteful number, since it uses less digits than its factorization.

212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21116 (or 21109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 212110100 is about 14564.0001373249. Note that the first 3 decimals coincide. The cubic root of 212110100 is about 596.3764006758.

Adding to 212110100 its reverse (1011212), we get a palindrome (213121312).

It can be divided in two parts, 2121 and 10100, that added together give a palindrome (12221).

The spelling of 212110100 in words is "two hundred twelve million, one hundred ten thousand, one hundred".