12221013111193 has 2 divisors, whose sum is σ = 12221013111194. Its totient is φ = 12221013111192.

The previous prime is 12221013111127. The next prime is 12221013111199. The reversal of 12221013111193 is 39111131012221.

12221013111193 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., 10210152980889 + 2010860130304 = 3195333^2 + 1418048^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221013111193 - 2⁹ = 12221013110681 is a prime.

It is a super-3 number, since 3×12221013111193³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12221013111199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110506555596 + 6110506555597.

It is an arithmetic number, because the mean of its divisors is an integer number (6110506555597).

Almost surely, 2^{12221013111193} is an apocalyptic number.

It is an amenable number.

12221013111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221013111193 is an equidigital number, since it uses as much as digits as its factorization.

12221013111193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 12221013111193 in words is "twelve trillion, two hundred twenty-one billion, thirteen million, one hundred eleven thousand, one hundred ninety-three".