10002120112241 has 2 divisors, whose sum is σ = 10002120112242. Its totient is φ = 10002120112240.

The previous prime is 10002120112151. The next prime is 10002120112279. The reversal of 10002120112241 is 14221102120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7424104527841 + 2578015584400 = 2724721^2 + 1605620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120112241 - 2¹⁴ = 10002120095857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002120112141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060056120 + 5001060056121.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060056121).

Almost surely, 2^{10002120112241} is an apocalyptic number.

It is an amenable number.

10002120112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120112241 is an equidigital number, since it uses as much as digits as its factorization.

10002120112241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10002120112241 its reverse (14221102120001), we get a palindrome (24223222232242).

The spelling of 10002120112241 in words is "ten trillion, two billion, one hundred twenty million, one hundred twelve thousand, two hundred forty-one".