10101220313321 has 2 divisors, whose sum is σ = 10101220313322. Its totient is φ = 10101220313320.

The previous prime is 10101220313279. The next prime is 10101220313341. The reversal of 10101220313321 is 12331302210101.

It is a happy number.

It is an a-pointer prime, because the next prime (10101220313341) can be obtained adding 10101220313321 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9059618406400 + 1041601906921 = 3009920^2 + 1020589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101220313321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101220313293 and 10101220313302.

It is not a weakly prime, because it can be changed into another prime (10101220313341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050610156660 + 5050610156661.

It is an arithmetic number, because the mean of its divisors is an integer number (5050610156661).

Almost surely, 2^{10101220313321} is an apocalyptic number.

It is an amenable number.

10101220313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101220313321 is an equidigital number, since it uses as much as digits as its factorization.

10101220313321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10101220313321 its reverse (12331302210101), we get a palindrome (22432522523422).

The spelling of 10101220313321 in words is "ten trillion, one hundred one billion, two hundred twenty million, three hundred thirteen thousand, three hundred twenty-one".