212340100 has 72 divisors (see below), whose sum is σ = 530118848. Its totient is φ = 72316800.

The previous prime is 212340091. The next prime is 212340103. The reversal of 212340100 is 1043212.

It is not an unprimeable number, because it can be changed into a prime (212340103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113170 + ... + 115030.

Almost surely, 2^212340100 is an apocalyptic number.

212340100 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 212340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265059424).

212340100 is an abundant number, since it is smaller than the sum of its proper divisors (317778748).

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

212340100 is a wasteful number, since it uses less digits than its factorization.

212340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212340100 is about 14571.8941802361. The cubic root of 212340100 is about 596.5918815722.

Adding to 212340100 its reverse (1043212), we get a palindrome (213383312).

The spelling of 212340100 in words is "two hundred twelve million, three hundred forty thousand, one hundred".