10221200010000 has 300 divisors, whose sum is σ = 40851445752832. Its totient is φ = 2336274144000.

The previous prime is 10221200009957. The next prime is 10221200010001. The reversal of 10221200010000 is 1000212201.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10221200010001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7482064 + ... + 8742063.

Almost surely, 2^{10221200010000} is an apocalyptic number.

10221200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221200010000 is an abundant number, since it is smaller than the sum of its proper divisors (30630245742832).

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

10221200010000 is a wasteful number, since it uses less digits than its factorization.

10221200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224168 (or 16224144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10221200010000 its reverse (1000212201), we get a palindrome (10222200222201).

The spelling of 10221200010000 in words is "ten trillion, two hundred twenty-one billion, two hundred million, ten thousand".