10221200000000 has 792 divisors, whose sum is σ = 29361641216832. Its totient is φ = 3520000000000.

The previous prime is 10221199999993. The next prime is 10221200000029. The reversal of 10221200000000 is 212201.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 101199999950 + ... + 101200000050.

Almost surely, 2^{10221200000000} is an apocalyptic number.

10221200000000 is a gapful number since it is divisible by the number (10) 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 10221200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680820608416).

10221200000000 is an abundant number, since it is smaller than the sum of its proper divisors (19140441216832).

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

10221200000000 is an frugal number, since it uses more digits than its factorization.

10221200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10221200000000 its reverse (212201), we get a palindrome (10221200212201).

The spelling of 10221200000000 in words is "ten trillion, two hundred twenty-one billion, two hundred million", and thus it is an aban number.