211242100 has 36 divisors (see below), whose sum is σ = 467056044. Its totient is φ = 82900480.

The previous prime is 211242079. The next prime is 211242103. The reversal of 211242100 is 1242112.

It is a happy number.

211242100 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 16695396 + 194546704 = 4086^2 + 13948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211242103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14629 + ... + 25228.

It is an arithmetic number, because the mean of its divisors is an integer number (12973779).

Almost surely, 2^211242100 is an apocalyptic number.

211242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242100 is an abundant number, since it is smaller than the sum of its proper divisors (255813944).

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

211242100 is a wasteful number, since it uses less digits than its factorization.

211242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924 (or 39917 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 211242100 is about 14534.1700829459. The cubic root of 211242100 is about 595.5617884476.

Adding to 211242100 its reverse (1242112), we get a palindrome (212484212).

The spelling of 211242100 in words is "two hundred eleven million, two hundred forty-two thousand, one hundred".