10221303032000 has 112 divisors (see below), whose sum is σ = 25315567238208. Its totient is φ = 4088115763200.

The previous prime is 10221303031999. The next prime is 10221303032009. The reversal of 10221303032000 is 23030312201.

It is a self number, because there is not a number n which added to its sum of digits gives 10221303032000.

It is not an unprimeable number, because it can be changed into a prime (10221303032009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88318172 + ... + 88433828.

Almost surely, 2^{10221303032000} is an apocalyptic number.

10221303032000 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 10221303032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657783619104).

10221303032000 is an abundant number, since it is smaller than the sum of its proper divisors (15094264206208).

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

10221303032000 is a wasteful number, since it uses less digits than its factorization.

10221303032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126731 (or 126711 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10221303032000 its reverse (23030312201), we get a palindrome (10244333344201).

The spelling of 10221303032000 in words is "ten trillion, two hundred twenty-one billion, three hundred three million, thirty-two thousand".