100213212 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 28645120.

The previous prime is 100213207. The next prime is 100213213. The reversal of 100213212 is 212312001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179638 + ... + 180194.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^100213212 is an apocalyptic number.

100213212 is a gapful number since it is divisible by the number (12) 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 100213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

100213212 is an abundant number, since it is smaller than the sum of its proper divisors (169769508).

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

100213212 is a wasteful number, since it uses less digits than its factorization.

100213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

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

The square root of 100213212 is about 10010.6549236301. The cubic root of 100213212 is about 464.4885300029.

Adding to 100213212 its reverse (212312001), we get a palindrome (312525213).

It can be divided in two parts, 100 and 213212, that added together give a palindrome (213312).

The spelling of 100213212 in words is "one hundred million, two hundred thirteen thousand, two hundred twelve".