10229097321 has 9 divisors (see below), whose sum is σ = 14775801079. Its totient is φ = 6819195936.

The previous prime is 10229097299. The next prime is 10229097331. The reversal of 10229097321 is 12379092201.

The square root of 10229097321 is 101139.

It is a perfect power (a square), and thus also a powerful number.

10229097321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1405125225 + 8823972096 = 37485^2 + 93936^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10229097321 - 2¹⁵ = 10229064553 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10229097331) 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 8 ways as a sum of consecutive naturals, for example, 286561 + ... + 320273.

Almost surely, 2^10229097321 is an apocalyptic number.

10229097321 is the 101139-th square number.

10229097321 is the 50570-th centered octagonal number.

It is an amenable number.

10229097321 is a deficient number, since it is larger than the sum of its proper divisors (4546703758).

10229097321 is an frugal number, since it uses more digits than its factorization.

10229097321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67432 (or 33716 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 10229097321 by its sum of digits (36), we get a square (368247503556 = 606834²).

The spelling of 10229097321 in words is "ten billion, two hundred twenty-nine million, ninety-seven thousand, three hundred twenty-one".