10221122312267 has 2 divisors, whose sum is σ = 10221122312268. Its totient is φ = 10221122312266.

The previous prime is 10221122312257. The next prime is 10221122312329. The reversal of 10221122312267 is 76221322112201.

10221122312267 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 is a cyclic number.

It is not a de Polignac number, because 10221122312267 - 2¹⁰ = 10221122311243 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221122312257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110561156133 + 5110561156134.

It is an arithmetic number, because the mean of its divisors is an integer number (5110561156134).

Almost surely, 2^{10221122312267} is an apocalyptic number.

10221122312267 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221122312267 is an equidigital number, since it uses as much as digits as its factorization.

10221122312267 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 10221122312267 its reverse (76221322112201), we get a palindrome (86442444424468).

The spelling of 10221122312267 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, three hundred twelve thousand, two hundred sixty-seven".