10200221120000 has 200 divisors, whose sum is σ = 25478604093096. Its totient is φ = 4078309376000.

The previous prime is 10200221119903. The next prime is 10200221120077. The reversal of 10200221120000 is 2112200201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 927034499 + ... + 927045501.

Almost surely, 2^{10200221120000} is an apocalyptic number.

10200221120000 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 10200221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739302046548).

10200221120000 is an abundant number, since it is smaller than the sum of its proper divisors (15278382973096).

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

10200221120000 is an frugal number, since it uses more digits than its factorization.

10200221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938 (or 13907 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200221120000 its reverse (2112200201), we get a palindrome (10202333320201).

The spelling of 10200221120000 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one hundred twenty thousand".