212130100 has 72 divisors (see below), whose sum is σ = 566574848. Its totient is φ = 67132800.

The previous prime is 212130077. The next prime is 212130101. The reversal of 212130100 is 1031212.

It is a super-3 number, since 3×212130100³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556 + ... + 20755.

Almost surely, 2^212130100 is an apocalyptic number.

212130100 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 212130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283287424).

212130100 is an abundant number, since it is smaller than the sum of its proper divisors (354444748).

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

212130100 is a wasteful number, since it uses less digits than its factorization.

212130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23345 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 212130100 is about 14564.6867456873. The cubic root of 212130100 is about 596.3951443269.

Adding to 212130100 its reverse (1031212), we get a palindrome (213161312).

The spelling of 212130100 in words is "two hundred twelve million, one hundred thirty thousand, one hundred".