10221203232000 has 864 divisors, whose sum is σ = 38150899716384. Its totient is φ = 2625454080000.

The previous prime is 10221203231933. The next prime is 10221203232001. The reversal of 10221203232000 is 23230212201.

10221203232000 is a `hidden beast` number, since 1 + 0 + 22 + 120 + 323 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4864459624704 + 5356743607296 = 2205552^2 + 2314464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221203232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1076251252 + ... + 1076260748.

It is an arithmetic number, because the mean of its divisors is an integer number (44156133931).

Almost surely, 2^{10221203232000} is an apocalyptic number.

10221203232000 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 10221203232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075449858192).

10221203232000 is an abundant number, since it is smaller than the sum of its proper divisors (27929696484384).

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

10221203232000 is a wasteful number, since it uses less digits than its factorization.

10221203232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10221203232000 its reverse (23230212201), we get a palindrome (10244433444201).

The spelling of 10221203232000 in words is "ten trillion, two hundred twenty-one billion, two hundred three million, two hundred thirty-two thousand".