212102000002200 has 384 divisors, whose sum is σ = 824498987973120. Its totient is φ = 43818383155200.

The previous prime is 212102000002199. The next prime is 212102000002213. The reversal of 212102000002200 is 2200000201212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5276049 + ... + 21261248.

It is an arithmetic number, because the mean of its divisors is an integer number (2147132781180).

Almost surely, 2^{212102000002200} is an apocalyptic number.

212102000002200 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 212102000002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412249493986560).

212102000002200 is an abundant number, since it is smaller than the sum of its proper divisors (612396987970920).

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

212102000002200 is a wasteful number, since it uses less digits than its factorization.

212102000002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26537507 (or 26537498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212102000002200 its reverse (2200000201212), we get a palindrome (214302000203412).

The spelling of 212102000002200 in words is "two hundred twelve trillion, one hundred two billion, two thousand, two hundred".