212016100 has 54 divisors (see below), whose sum is σ = 476675654. Its totient is φ = 81849600.

The previous prime is 212016029. The next prime is 212016109. The reversal of 212016100 is 1610212.

212016100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 127780416 + 84235684 = 11304^2 + 9178^2 .

It is not an unprimeable number, because it can be changed into a prime (212016109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82840 + ... + 85360.

Almost surely, 2^212016100 is an apocalyptic number.

212016100 is a gapful number since it is divisible by the number (20) 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 212016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238337827).

212016100 is an abundant number, since it is smaller than the sum of its proper divisors (264659554).

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

212016100 is a wasteful number, since it uses less digits than its factorization.

212016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 212016100 is about 14560.7726443345. The cubic root of 212016100 is about 596.2882897295.

Adding to 212016100 its reverse (1610212), we get a palindrome (213626312).

The spelling of 212016100 in words is "two hundred twelve million, sixteen thousand, one hundred".