21212210100200 has 192 divisors, whose sum is σ = 56454171523200. Its totient is φ = 7261116825600.

The previous prime is 21212210100199. The next prime is 21212210100247. The reversal of 21212210100200 is 200101221212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2558458055 + ... + 2558466345.

It is an arithmetic number, because the mean of its divisors is an integer number (294032143350).

Almost surely, 2^{21212210100200} is an apocalyptic number.

21212210100200 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 21212210100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28227085761600).

21212210100200 is an abundant number, since it is smaller than the sum of its proper divisors (35241961423000).

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

21212210100200 is a wasteful number, since it uses less digits than its factorization.

21212210100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21212210100200 its reverse (200101221212), we get a palindrome (21412311321412).

The spelling of 21212210100200 in words is "twenty-one trillion, two hundred twelve billion, two hundred ten million, one hundred thousand, two hundred".