10221223213301 has 2 divisors, whose sum is σ = 10221223213302. Its totient is φ = 10221223213300.

The previous prime is 10221223213297. The next prime is 10221223213337. The reversal of 10221223213301 is 10331232212201.

10221223213301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5336354103025 + 4884869110276 = 2310055^2 + 2210174^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221223213301 - 2² = 10221223213297 is a prime.

It is a super-2 number, since 2×10221223213301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221223213391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110611606650 + 5110611606651.

It is an arithmetic number, because the mean of its divisors is an integer number (5110611606651).

Almost surely, 2^{10221223213301} is an apocalyptic number.

It is an amenable number.

10221223213301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221223213301 is an equidigital number, since it uses as much as digits as its factorization.

10221223213301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10221223213301 its reverse (10331232212201), we get a palindrome (20552455425502).

The spelling of 10221223213301 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred one".