212132100 has 144 divisors (see below), whose sum is σ = 653083200. Its totient is φ = 53061120.

The previous prime is 212132077. The next prime is 212132119. The reversal of 212132100 is 1231212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321571 + ... + 322229.

It is an arithmetic number, because the mean of its divisors is an integer number (4535300).

Almost surely, 2^212132100 is an apocalyptic number.

212132100 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 212132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326541600).

212132100 is an abundant number, since it is smaller than the sum of its proper divisors (440951100).

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

212132100 is a wasteful number, since it uses less digits than its factorization.

212132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212132100 is about 14564.7554047433. The cubic root of 212132100 is about 596.3970186272.

Adding to 212132100 its reverse (1231212), we get a palindrome (213363312).

The spelling of 212132100 in words is "two hundred twelve million, one hundred thirty-two thousand, one hundred".