10222434321 has 64 divisors (see below), whose sum is σ = 15886540800. Its totient is φ = 5781888000.

The previous prime is 10222434317. The next prime is 10222434361. The reversal of 10222434321 is 12343422201.

It is a happy number.

It is not a de Polignac number, because 10222434321 - 2² = 10222434317 is a prime.

It is a super-4 number, since 4×10222434321⁴ (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222434291 and 10222434300.

It is not an unprimeable number, because it can be changed into a prime (10222434311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21340960 + ... + 21341438.

It is an arithmetic number, because the mean of its divisors is an integer number (248227200).

Almost surely, 2^10222434321 is an apocalyptic number.

10222434321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222434321 is a deficient number, since it is larger than the sum of its proper divisors (5664106479).

10222434321 is a wasteful number, since it uses less digits than its factorization.

10222434321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10222434321 its reverse (12343422201), we get a palindrome (22565856522).

The spelling of 10222434321 in words is "ten billion, two hundred twenty-two million, four hundred thirty-four thousand, three hundred twenty-one".