21200102222200 has 384 divisors, whose sum is σ = 60524292268800. Its totient is φ = 6805693440000.

The previous prime is 21200102222177. The next prime is 21200102222203. The reversal of 21200102222200 is 222220100212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200102222203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71622907 + ... + 71918293.

It is an arithmetic number, because the mean of its divisors is an integer number (157615344450).

Almost surely, 2^{21200102222200} is an apocalyptic number.

21200102222200 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 21200102222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30262146134400).

21200102222200 is an abundant number, since it is smaller than the sum of its proper divisors (39324190046600).

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

21200102222200 is a wasteful number, since it uses less digits than its factorization.

21200102222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295551 (or 295542 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21200102222200 its reverse (222220100212), we get a palindrome (21422322322412).

The spelling of 21200102222200 in words is "twenty-one trillion, two hundred billion, one hundred two million, two hundred twenty-two thousand, two hundred".