212100 has 72 divisors (see below), whose sum is σ = 708288. Its totient is φ = 48000.

The previous prime is 212099. The next prime is 212117. The reversal of 212100 is 1212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050 + ... + 2150.

2²¹²¹⁰⁰ is an apocalyptic number.

212100 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 212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144).

212100 is an abundant number, since it is smaller than the sum of its proper divisors (496188).

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

212100 is a wasteful number, since it uses less digits than its factorization.

212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 212100 is about 460.5431575868. The cubic root of 212100 is about 59.6366934684.

Adding to 212100 its reverse (1212), we get a palindrome (213312).

It can be divided in two parts, 21 and 2100, that multiplied together give a square (44100 = 210²).

The spelling of 212100 in words is "two hundred twelve thousand, one hundred", and thus it is an iban number.