210212100 has 216 divisors, whose sum is σ = 766770368. Its totient is φ = 47174400.

The previous prime is 210212047. The next prime is 210212131. The reversal of 210212100 is 1212012.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 384027 + ... + 384573.

Almost surely, 2^210212100 is an apocalyptic number.

210212100 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 210212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383385184).

210212100 is an abundant number, since it is smaller than the sum of its proper divisors (556558268).

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

210212100 is a wasteful number, since it uses less digits than its factorization.

210212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 210212100 is about 14498.6930445472. The cubic root of 210212100 is about 594.5922399821.

Adding to 210212100 its reverse (1212012), we get a palindrome (211424112).

The spelling of 210212100 in words is "two hundred ten million, two hundred twelve thousand, one hundred".