10220310010321 has 16 divisors (see below), whose sum is σ = 10565484621120. Its totient is φ = 9880095355200.

The previous prime is 10220310010291. The next prime is 10220310010327. The reversal of 10220310010321 is 12301001302201.

It is a cyclic number.

It is not a de Polignac number, because 10220310010321 - 2¹⁷ = 10220309879249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220310010295 and 10220310010304.

It is not an unprimeable number, because it can be changed into a prime (10220310010327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11213715 + ... + 12090823.

It is an arithmetic number, because the mean of its divisors is an integer number (660342788820).

Almost surely, 2^{10220310010321} is an apocalyptic number.

It is an amenable number.

10220310010321 is a deficient number, since it is larger than the sum of its proper divisors (345174610799).

10220310010321 is a wasteful number, since it uses less digits than its factorization.

10220310010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879936.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10220310010321 its reverse (12301001302201), we get a palindrome (22521311312522).

The spelling of 10220310010321 in words is "ten trillion, two hundred twenty billion, three hundred ten million, ten thousand, three hundred twenty-one".