100312212 has 144 divisors (see below), whose sum is σ = 320144832. Its totient is φ = 24030720.

The previous prime is 100312151. The next prime is 100312253. The reversal of 100312212 is 212213001.

It is a super-3 number, since 3×100312212³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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, 83488 + ... + 84680.

It is an arithmetic number, because the mean of its divisors is an integer number (2223228).

Almost surely, 2^100312212 is an apocalyptic number.

100312212 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 100312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160072416).

100312212 is an abundant number, since it is smaller than the sum of its proper divisors (219832620).

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

100312212 is a wasteful number, since it uses less digits than its factorization.

100312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1229 counting only the distinct ones).

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

The square root of 100312212 is about 10015.5984344421. The cubic root of 100312212 is about 464.6414347590.

Adding to 100312212 its reverse (212213001), we get a palindrome (312525213).

The spelling of 100312212 in words is "one hundred million, three hundred twelve thousand, two hundred twelve".