212000210100 has 486 divisors, whose sum is σ = 786886168614. Its totient is φ = 47601388800.

The previous prime is 212000210089. The next prime is 212000210131. The reversal of 212000210100 is 1012000212.

212000210100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10831813776 + 201168396324 = 104076^2 + 448518^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 153511410 + ... + 153512790.

Almost surely, 2^212000210100 is an apocalyptic number.

212000210100 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 212000210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393443084307).

212000210100 is an abundant number, since it is smaller than the sum of its proper divisors (574885958514).

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

212000210100 is a wasteful number, since it uses less digits than its factorization.

212000210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1457 counting only the distinct ones).

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

Adding to 212000210100 its reverse (1012000212), we get a palindrome (213012210312).

The spelling of 212000210100 in words is "two hundred twelve billion, two hundred ten thousand, one hundred".