212900100 has 144 divisors (see below), whose sum is σ = 718704000. Its totient is φ = 48639360.

The previous prime is 212900081. The next prime is 212900113. The reversal of 212900100 is 1009212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212900100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101866 + ... + 103934.

It is an arithmetic number, because the mean of its divisors is an integer number (4991000).

Almost surely, 2^212900100 is an apocalyptic number.

212900100 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 212900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359352000).

212900100 is an abundant number, since it is smaller than the sum of its proper divisors (505803900).

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

212900100 is a wasteful number, since it uses less digits than its factorization.

212900100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 212900100 is about 14591.0966003245. The cubic root of 212900100 is about 597.1158808637.

Adding to 212900100 its reverse (1009212), we get a palindrome (213909312).

The spelling of 212900100 in words is "two hundred twelve million, nine hundred thousand, one hundred".