12222112117001 has 2 divisors, whose sum is σ = 12222112117002. Its totient is φ = 12222112117000.

The previous prime is 12222112116961. The next prime is 12222112117031. The reversal of 12222112117001 is 10071121122221.

12222112117001 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., 11146089707776 + 1076022409225 = 3338576^2 + 1037315^2 .

It is an emirp because it is prime and its reverse (10071121122221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12222112117001 - 2⁶ = 12222112116937 is a prime.

It is not a weakly prime, because it can be changed into another prime (12222112117031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111056058500 + 6111056058501.

It is an arithmetic number, because the mean of its divisors is an integer number (6111056058501).

Almost surely, 2^{12222112117001} is an apocalyptic number.

It is an amenable number.

12222112117001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222112117001 is an equidigital number, since it uses as much as digits as its factorization.

12222112117001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 12222112117001 its reverse (10071121122221), we get a palindrome (22293233239222).

The spelling of 12222112117001 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, one hundred seventeen thousand, one".