21222101100000 has 432 divisors, whose sum is σ = 71564716971216. Its totient is φ = 5506168320000.

The previous prime is 21222101099999. The next prime is 21222101100017. The reversal of 21222101100000 is 110122212.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410674164 + ... + 410725836.

It is an arithmetic number, because the mean of its divisors is an integer number (165659067063).

Almost surely, 2^{21222101100000} is an apocalyptic number.

21222101100000 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 21222101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35782358485608).

21222101100000 is an abundant number, since it is smaller than the sum of its proper divisors (50342615871216).

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

21222101100000 is an frugal number, since it uses more digits than its factorization.

21222101100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51785 (or 51720 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21222101100000 its reverse (110122212), we get a palindrome (21222211222212).

The spelling of 21222101100000 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred one million, one hundred thousand".