12101120221873 has 2 divisors, whose sum is σ = 12101120221874. Its totient is φ = 12101120221872.

The previous prime is 12101120221849. The next prime is 12101120221889. The reversal of 12101120221873 is 37812202110121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11114975891569 + 986144330304 = 3333913^2 + 993048^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101120221873 - 2³³ = 12092530287281 is a prime.

It is a super-2 number, since 2×12101120221873² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12101120261873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050560110936 + 6050560110937.

It is an arithmetic number, because the mean of its divisors is an integer number (6050560110937).

Almost surely, 2^{12101120221873} is an apocalyptic number.

It is an amenable number.

12101120221873 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101120221873 is an equidigital number, since it uses as much as digits as its factorization.

12101120221873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 12101120221873 its reverse (37812202110121), we get a palindrome (49913322331994).

The spelling of 12101120221873 in words is "twelve trillion, one hundred one billion, one hundred twenty million, two hundred twenty-one thousand, eight hundred seventy-three".