10000120312241 has 2 divisors, whose sum is σ = 10000120312242. Its totient is φ = 10000120312240.

The previous prime is 10000120312181. The next prime is 10000120312271. The reversal of 10000120312241 is 14221302100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6020079352225 + 3980040960016 = 2453585^2 + 1995004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000120312241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000120312271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000060156120 + 5000060156121.

It is an arithmetic number, because the mean of its divisors is an integer number (5000060156121).

Almost surely, 2^{10000120312241} is an apocalyptic number.

It is an amenable number.

10000120312241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000120312241 is an equidigital number, since it uses as much as digits as its factorization.

10000120312241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10000120312241 its reverse (14221302100001), we get a palindrome (24221422412242).

The spelling of 10000120312241 in words is "ten trillion, one hundred twenty million, three hundred twelve thousand, two hundred forty-one".