100212112 has 80 divisors (see below), whose sum is σ = 260733312. Its totient is φ = 36034560.

The previous prime is 100212103. The next prime is 100212113. The reversal of 100212112 is 211212001.

It is not an unprimeable number, because it can be changed into a prime (100212113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12888 + ... + 19144.

Almost surely, 2^100212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130366656).

100212112 is an abundant number, since it is smaller than the sum of its proper divisors (160521200).

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

100212112 is a wasteful number, since it uses less digits than its factorization.

100212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100212112 is about 10010.5999820191. The cubic root of 100212112 is about 464.4868304956.

Adding to 100212112 its reverse (211212001), we get a palindrome (311424113).

It can be divided in two parts, 100 and 212112, that added together give a palindrome (212212).

The spelling of 100212112 in words is "one hundred million, two hundred twelve thousand, one hundred twelve".