2221310010321 has 16 divisors (see below), whose sum is σ = 3293490025600. Its totient is φ = 1479676168944.

The previous prime is 2221310010301. The next prime is 2221310010377. The reversal of 2221310010321 is 1230100131222.

2221310010321 is a `hidden beast` number, since 2 + 2 + 21 + 310 + 0 + 10 + 321 = 666.

It is not a de Polignac number, because 2221310010321 - 2¹⁰ = 2221310009297 is a prime.

It is a super-2 number, since 2×2221310010321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221310010294 and 2221310010303.

It is not an unprimeable number, because it can be changed into a prime (2221310010301) 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 15 ways as a sum of consecutive naturals, for example, 33220741 + ... + 33287538.

It is an arithmetic number, because the mean of its divisors is an integer number (205843126600).

Almost surely, 2^{2221310010321} is an apocalyptic number.

It is an amenable number.

2221310010321 is a deficient number, since it is larger than the sum of its proper divisors (1072180015279).

2221310010321 is a wasteful number, since it uses less digits than its factorization.

2221310010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66509525 (or 66509519 counting only the distinct ones).

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

Adding to 2221310010321 its reverse (1230100131222), we get a palindrome (3451410141543).

The spelling of 2221310010321 in words is "two trillion, two hundred twenty-one billion, three hundred ten million, ten thousand, three hundred twenty-one".