1001022231321 has 36 divisors (see below), whose sum is σ = 1696874685012. Its totient is φ = 566950616064.

The previous prime is 1001022231299. The next prime is 1001022231359. The reversal of 1001022231321 is 1231322201001.

1001022231321 is a `hidden beast` number, since 10 + 0 + 102 + 2 + 231 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9824774400 + 991197456921 = 99120^2 + 995589^2 .

It is not a de Polignac number, because 1001022231321 - 2¹⁴ = 1001022214937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001022231294 and 1001022231303.

It is not an unprimeable number, because it can be changed into a prime (1001022231371) 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 35 ways as a sum of consecutive naturals, for example, 9993936 + ... + 10093601.

It is an arithmetic number, because the mean of its divisors is an integer number (47135407917).

Almost surely, 2^{1001022231321} is an apocalyptic number.

It is an amenable number.

1001022231321 is a deficient number, since it is larger than the sum of its proper divisors (695852453691).

1001022231321 is a wasteful number, since it uses less digits than its factorization.

1001022231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087670 (or 20087660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001022231321 its reverse (1231322201001), we get a palindrome (2232344432322).

The spelling of 1001022231321 in words is "one trillion, one billion, twenty-two million, two hundred thirty-one thousand, three hundred twenty-one".