10211322223321 has 2 divisors, whose sum is σ = 10211322223322. Its totient is φ = 10211322223320.

The previous prime is 10211322223303. The next prime is 10211322223337. The reversal of 10211322223321 is 12332222311201.

10211322223321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7716928420096 + 2494393803225 = 2777936^2 + 1579365^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211322223321 - 2²⁹ = 10210785352409 is a prime.

It is a super-2 number, since 2×10211322223321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10211322223621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105661111660 + 5105661111661.

It is an arithmetic number, because the mean of its divisors is an integer number (5105661111661).

Almost surely, 2^{10211322223321} is an apocalyptic number.

It is an amenable number.

10211322223321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211322223321 is an equidigital number, since it uses as much as digits as its factorization.

10211322223321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10211322223321 its reverse (12332222311201), we get a palindrome (22543544534522).

The spelling of 10211322223321 in words is "ten trillion, two hundred eleven billion, three hundred twenty-two million, two hundred twenty-three thousand, three hundred twenty-one".