212002002100 has 72 divisors (see below), whose sum is σ = 526618169280. Its totient is φ = 72568446720.

The previous prime is 212002002083. The next prime is 212002002101. The reversal of 212002002100 is 1200200212.

212002002100 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 is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002002101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 186471 + ... + 677329.

It is an arithmetic number, because the mean of its divisors is an integer number (7314141240).

Almost surely, 2^212002002100 is an apocalyptic number.

212002002100 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 212002002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263309084640).

212002002100 is an abundant number, since it is smaller than the sum of its proper divisors (314616167180).

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

212002002100 is a wasteful number, since it uses less digits than its factorization.

212002002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491497 (or 491490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212002002100 its reverse (1200200212), we get a palindrome (213202202312).

The spelling of 212002002100 in words is "two hundred twelve billion, two million, two thousand, one hundred".