21220011012200 has 768 divisors, whose sum is σ = 67951965795840. Its totient is φ = 5948080128000.

The previous prime is 21220011012199. The next prime is 21220011012209. The reversal of 21220011012200 is 221011002212.

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

It is not an unprimeable number, because it can be changed into a prime (21220011012209) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 8183574104 + ... + 8183576696.

It is an arithmetic number, because the mean of its divisors is an integer number (88479122130).

Almost surely, 2^{21220011012200} is an apocalyptic number.

21220011012200 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 21220011012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33975982897920).

21220011012200 is an abundant number, since it is smaller than the sum of its proper divisors (46731954783640).

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

21220011012200 is a wasteful number, since it uses less digits than its factorization.

21220011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3669 counting only the distinct ones).

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

Adding to 21220011012200 its reverse (221011002212), we get a palindrome (21441022014412).

The spelling of 21220011012200 in words is "twenty-one trillion, two hundred twenty billion, eleven million, twelve thousand, two hundred".