10333222120321 has 32 divisors (see below), whose sum is σ = 11419712100000. Its totient is φ = 9306204536832.

The previous prime is 10333222120301. The next prime is 10333222120339. The reversal of 10333222120321 is 12302122233301.

It can be written as a sum of positive squares in 16 ways, for example, as 4084542050625 + 6248680069696 = 2021025^2 + 2499736^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333222120321 - 2¹⁷ = 10333221989249 is a prime.

It is a super-2 number, since 2×10333222120321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10333222120301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32825545 + ... + 33138841.

It is an arithmetic number, because the mean of its divisors is an integer number (356866003125).

Almost surely, 2^{10333222120321} is an apocalyptic number.

It is an amenable number.

10333222120321 is a deficient number, since it is larger than the sum of its proper divisors (1086489979679).

10333222120321 is a wasteful number, since it uses less digits than its factorization.

10333222120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313941.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10333222120321 its reverse (12302122233301), we get a palindrome (22635344353622).

The spelling of 10333222120321 in words is "ten trillion, three hundred thirty-three billion, two hundred twenty-two million, one hundred twenty thousand, three hundred twenty-one".