212930100 has 144 divisors (see below), whose sum is σ = 724953600. Its totient is φ = 53429760.

The previous prime is 212930071. The next prime is 212930101. The reversal of 212930100 is 1039212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212930101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43581 + ... + 48219.

It is an arithmetic number, because the mean of its divisors is an integer number (5034400).

Almost surely, 2^212930100 is an apocalyptic number.

212930100 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 212930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362476800).

212930100 is an abundant number, since it is smaller than the sum of its proper divisors (512023500).

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

212930100 is a wasteful number, since it uses less digits than its factorization.

212930100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 212930100 is about 14592.1245882839. The cubic root of 212930100 is about 597.1439263102.

Adding to 212930100 its reverse (1039212), we get a palindrome (213969312).

The spelling of 212930100 in words is "two hundred twelve million, nine hundred thirty thousand, one hundred".