211312100 has 36 divisors (see below), whose sum is σ = 459280500. Its totient is φ = 84389760.

The previous prime is 211312097. The next prime is 211312111. The reversal of 211312100 is 1213112.

211312100 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 6 ways, for example, as 4700224 + 206611876 = 2168^2 + 14374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81626 + ... + 84174.

Almost surely, 2^211312100 is an apocalyptic number.

211312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312100 is an abundant number, since it is smaller than the sum of its proper divisors (247968400).

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

211312100 is a wasteful number, since it uses less digits than its factorization.

211312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 211312100 is about 14536.5780017169. The cubic root of 211312100 is about 595.6275656154.

Adding to 211312100 its reverse (1213112), we get a palindrome (212525212).

The spelling of 211312100 in words is "two hundred eleven million, three hundred twelve thousand, one hundred".