212112100 has 18 divisors (see below), whose sum is σ = 460283474. Its totient is φ = 84844800.

The previous prime is 212112091. The next prime is 212112161. The reversal of 212112100 is 1211212.

It can be written as a sum of positive squares in 3 ways, for example, as 67535524 + 144576576 = 8218^2 + 12024^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060461 + ... + 1060660.

Almost surely, 2^212112100 is an apocalyptic number.

212112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112100 is an abundant number, since it is smaller than the sum of its proper divisors (248171374).

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

212112100 is a wasteful number, since it uses less digits than its factorization.

212112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121135 (or 2121128 counting only the distinct ones).

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

The square root of 212112100 is about 14564.0687996178. The cubic root of 212112100 is about 596.3782750939.

Adding to 212112100 its reverse (1211212), we get a palindrome (213323312).

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

The spelling of 212112100 in words is "two hundred twelve million, one hundred twelve thousand, one hundred".