12101001121873 has 2 divisors, whose sum is σ = 12101001121874. Its totient is φ = 12101001121872.

The previous prime is 12101001121829. The next prime is 12101001121943. The reversal of 12101001121873 is 37812110010121.

12101001121873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11171149774929 + 929851346944 = 3342327^2 + 964288^2 .

It is an emirp because it is prime and its reverse (37812110010121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12101001121873 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101001121973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050500560936 + 6050500560937.

It is an arithmetic number, because the mean of its divisors is an integer number (6050500560937).

Almost surely, 2^{12101001121873} is an apocalyptic number.

It is an amenable number.

12101001121873 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101001121873 is an equidigital number, since it uses as much as digits as its factorization.

12101001121873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 28.

Adding to 12101001121873 its reverse (37812110010121), we get a palindrome (49913111131994).

The spelling of 12101001121873 in words is "twelve trillion, one hundred one billion, one million, one hundred twenty-one thousand, eight hundred seventy-three".