1010332002321 has 24 divisors (see below), whose sum is σ = 1499709692520. Its totient is φ = 654957467136.

The previous prime is 1010332002299. The next prime is 1010332002343. The reversal of 1010332002321 is 1232002330101.

1010332002321 is a `hidden beast` number, since 1 + 0 + 10 + 332 + 0 + 0 + 2 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (1010332002299) and next prime (1010332002343).

It can be written as a sum of positive squares in 4 ways, for example, as 576263174400 + 434068827921 = 759120^2 + 658839^2 .

It is not a de Polignac number, because 1010332002321 - 2⁷ = 1010332002193 is a prime.

It is a super-2 number, since 2×1010332002321² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010332002294 and 1010332002303.

It is not an unprimeable number, because it can be changed into a prime (1010332002391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353160 + ... + 1464713.

It is an arithmetic number, because the mean of its divisors is an integer number (62487903855).

Almost surely, 2^{1010332002321} is an apocalyptic number.

It is an amenable number.

1010332002321 is a deficient number, since it is larger than the sum of its proper divisors (489377690199).

1010332002321 is a wasteful number, since it uses less digits than its factorization.

1010332002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819585 (or 1819582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1010332002321 its reverse (1232002330101), we get a palindrome (2242334332422).

The spelling of 1010332002321 in words is "one trillion, ten billion, three hundred thirty-two million, two thousand, three hundred twenty-one".