212321100 has 144 divisors (see below), whose sum is σ = 638570240. Its totient is φ = 54432000.

The previous prime is 212321099. The next prime is 212321101. The reversal of 212321100 is 1123212.

212321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212321099) and next prime (212321101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212321101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1406025 + ... + 1406175.

Almost surely, 2^212321100 is an apocalyptic number.

212321100 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 212321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319285120).

212321100 is an abundant number, since it is smaller than the sum of its proper divisors (426249140).

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

212321100 is a wasteful number, since it uses less digits than its factorization.

212321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212321100 is about 14571.2422256992. The cubic root of 212321100 is about 596.5740868743.

Adding to 212321100 its reverse (1123212), we get a palindrome (213444312).

The spelling of 212321100 in words is "two hundred twelve million, three hundred twenty-one thousand, one hundred".