212440100 has 18 divisors (see below), whose sum is σ = 460995234. Its totient is φ = 84976000.

The previous prime is 212440099. The next prime is 212440157. The reversal of 212440100 is 1044212.

It can be written as a sum of positive squares in 3 ways, for example, as 3232804 + 209207296 = 1798^2 + 14464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1062101 + ... + 1062300.

Almost surely, 2^212440100 is an apocalyptic number.

212440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212440100 is an abundant number, since it is smaller than the sum of its proper divisors (248555134).

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

212440100 is a wasteful number, since it uses less digits than its factorization.

212440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124415 (or 2124408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212440100 is about 14575.3250392573. The cubic root of 212440100 is about 596.6855203860.

Adding to 212440100 its reverse (1044212), we get a palindrome (213484312).

It can be divided in two parts, 2124 and 40100, that added together give a palindrome (42224).

The spelling of 212440100 in words is "two hundred twelve million, four hundred forty thousand, one hundred".