12211103120093 has 2 divisors, whose sum is σ = 12211103120094. Its totient is φ = 12211103120092.

The previous prime is 12211103120059. The next prime is 12211103120123. The reversal of 12211103120093 is 39002130111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11567324759929 + 643778360164 = 3401077^2 + 802358^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12211103120093 is a prime.

It is a super-3 number, since 3×12211103120093³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211103120053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105551560046 + 6105551560047.

It is an arithmetic number, because the mean of its divisors is an integer number (6105551560047).

Almost surely, 2^{12211103120093} is an apocalyptic number.

It is an amenable number.

12211103120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211103120093 is an equidigital number, since it uses as much as digits as its factorization.

12211103120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 12211103120093 in words is "twelve trillion, two hundred eleven billion, one hundred three million, one hundred twenty thousand, ninety-three".