21201102122200 has 768 divisors, whose sum is σ = 67006651299840. Its totient is φ = 6024222720000.

The previous prime is 21201102122197. The next prime is 21201102122279. The reversal of 21201102122200 is 222120110212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9847236324 + ... + 9847238476.

It is an arithmetic number, because the mean of its divisors is an integer number (87248243880).

Almost surely, 2^{21201102122200} is an apocalyptic number.

21201102122200 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 21201102122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503325649920).

21201102122200 is an abundant number, since it is smaller than the sum of its proper divisors (45805549177640).

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

21201102122200 is a wasteful number, since it uses less digits than its factorization.

21201102122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21201102122200 its reverse (222120110212), we get a palindrome (21423222232412).

The spelling of 21201102122200 in words is "twenty-one trillion, two hundred one billion, one hundred two million, one hundred twenty-two thousand, two hundred".