10122573321 has 45 divisors (see below), whose sum is σ = 17601192279. Its totient is φ = 5780705616.

The previous prime is 10122573311. The next prime is 10122573341. The reversal of 10122573321 is 12337522101.

The square root of 10122573321 is 100611.

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

10122573321 is a `hidden beast` number, since 101 + 225 + 7 + 332 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2029052025 + 8093521296 = 45045^2 + 89964^2 .

It is not a de Polignac number, because 10122573321 - 2⁵ = 10122573289 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10122573311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6337695 + ... + 6339291.

Almost surely, 2^10122573321 is an apocalyptic number.

10122573321 is the 100611-st square number.

10122573321 is the 50306-th centered octagonal number.

It is an amenable number.

10122573321 is a deficient number, since it is larger than the sum of its proper divisors (7478618958).

10122573321 is an frugal number, since it uses more digits than its factorization.

10122573321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10122573321 in words is "ten billion, one hundred twenty-two million, five hundred seventy-three thousand, three hundred twenty-one".