10243201224321 has 128 divisors (see below), whose sum is σ = 17157379635200. Its totient is φ = 5998068299520.

The previous prime is 10243201224317. The next prime is 10243201224341. The reversal of 10243201224321 is 12342210234201.

10243201224321 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 201 + 22 + 432 + 1 = 666.

10243201224321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10243201224321 - 2² = 10243201224317 is a prime.

It is a super-3 number, since 3×10243201224321³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10243201224341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120905586 + ... + 120990276.

It is an arithmetic number, because the mean of its divisors is an integer number (134042028400).

Almost surely, 2^{10243201224321} is an apocalyptic number.

It is an amenable number.

10243201224321 is a deficient number, since it is larger than the sum of its proper divisors (6914178410879).

10243201224321 is a wasteful number, since it uses less digits than its factorization.

10243201224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84956 (or 84950 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10243201224321 its reverse (12342210234201), we get a palindrome (22585411458522).

The spelling of 10243201224321 in words is "ten trillion, two hundred forty-three billion, two hundred one million, two hundred twenty-four thousand, three hundred twenty-one".