212002100 has 18 divisors (see below), whose sum is σ = 460044774. Its totient is φ = 84800800.

The previous prime is 212002097. The next prime is 212002111. The reversal of 212002100 is 1200212.

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 211818916 = 428^2 + 14554^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1059911 + ... + 1060110.

It is an arithmetic number, because the mean of its divisors is an integer number (25558043).

Almost surely, 2^212002100 is an apocalyptic number.

212002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002100 is an abundant number, since it is smaller than the sum of its proper divisors (248042674).

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

212002100 is a wasteful number, since it uses less digits than its factorization.

212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120035 (or 2120028 counting only the distinct ones).

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

The square root of 212002100 is about 14560.2918926785. The cubic root of 212002100 is about 596.2751645945.

Adding to 212002100 its reverse (1200212), we get a palindrome (213202312).

The spelling of 212002100 in words is "two hundred twelve million, two thousand, one hundred".