10311020221221 has 40 divisors (see below), whose sum is σ = 15730166568600. Its totient is φ = 6729482073600.

The previous prime is 10311020221193. The next prime is 10311020221231. The reversal of 10311020221221 is 12212202011301.

It can be written as a sum of positive squares in 4 ways, for example, as 2045314721025 + 8265705500196 = 1430145^2 + 2875014^2 .

It is not a de Polignac number, because 10311020221221 - 2⁵ = 10311020221189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10311020221194 and 10311020221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311020221231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6352576 + ... + 7808793.

It is an arithmetic number, because the mean of its divisors is an integer number (393254164215).

Almost surely, 2^{10311020221221} is an apocalyptic number.

It is an amenable number.

10311020221221 is a deficient number, since it is larger than the sum of its proper divisors (5419146347379).

10311020221221 is a wasteful number, since it uses less digits than its factorization.

10311020221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14161571 (or 14161562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10311020221221 its reverse (12212202011301), we get a palindrome (22523222232522).

The spelling of 10311020221221 in words is "ten trillion, three hundred eleven billion, twenty million, two hundred twenty-one thousand, two hundred twenty-one".