12211111101173 has 2 divisors, whose sum is σ = 12211111101174. Its totient is φ = 12211111101172.

The previous prime is 12211111101169. The next prime is 12211111101193. The reversal of 12211111101173 is 37110111111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12107567445649 + 103543655524 = 3479593^2 + 321782^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211111101173 - 2² = 12211111101169 is a prime.

It is a super-3 number, since 3×12211111101173³ (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 (12211111101193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105555550586 + 6105555550587.

It is an arithmetic number, because the mean of its divisors is an integer number (6105555550587).

Almost surely, 2^{12211111101173} is an apocalyptic number.

It is an amenable number.

12211111101173 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211111101173 is an equidigital number, since it uses as much as digits as its factorization.

12211111101173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 23.

Adding to 12211111101173 its reverse (37110111111221), we get a palindrome (49321222212394).

The spelling of 12211111101173 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred seventy-three".