212100112 has 80 divisors (see below), whose sum is σ = 494468352. Its totient is φ = 86169600.

The previous prime is 212100079. The next prime is 212100121. The reversal of 212100112 is 211001212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352612 + ... + 353212.

Almost surely, 2^212100112 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 212100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247234176).

212100112 is an abundant number, since it is smaller than the sum of its proper divisors (282368240).

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

212100112 is a wasteful number, since it uses less digits than its factorization.

212100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

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

The square root of 212100112 is about 14563.6572329892. The cubic root of 212100112 is about 596.3670396553.

Adding to 212100112 its reverse (211001212), we get a palindrome (423101324).

It can be divided in two parts, 212100 and 112, that added together give a palindrome (212212).

The spelling of 212100112 in words is "two hundred twelve million, one hundred thousand, one hundred twelve".