10222331412321 has 32 divisors (see below), whose sum is σ = 17359009191680. Its totient is φ = 5823998869248.

The previous prime is 10222331412317. The next prime is 10222331412379. The reversal of 10222331412321 is 12321413322201.

10222331412321 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 331 + 4 + 1 + 2 + 321 = 666.

10222331412321 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 10222331412321 - 2² = 10222331412317 is a prime.

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 (10222331410321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80183206 + ... + 80310591.

It is an arithmetic number, because the mean of its divisors is an integer number (542469037240).

Almost surely, 2^{10222331412321} is an apocalyptic number.

It is an amenable number.

10222331412321 is a deficient number, since it is larger than the sum of its proper divisors (7136677779359).

10222331412321 is a wasteful number, since it uses less digits than its factorization.

10222331412321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160494150 (or 160494144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10222331412321 its reverse (12321413322201), we get a palindrome (22543744734522).

The spelling of 10222331412321 in words is "ten trillion, two hundred twenty-two billion, three hundred thirty-one million, four hundred twelve thousand, three hundred twenty-one".