10101000013241 has 2 divisors, whose sum is σ = 10101000013242. Its totient is φ = 10101000013240.

The previous prime is 10101000013157. The next prime is 10101000013243. The reversal of 10101000013241 is 14231000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5634451690000 + 4466548323241 = 2373700^2 + 2113421^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000013241 - 2⁴² = 5702953502137 is a prime.

Together with 10101000013243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10101000013243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500006620 + 5050500006621.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500006621).

Almost surely, 2^{10101000013241} is an apocalyptic number.

It is an amenable number.

10101000013241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000013241 is an equidigital number, since it uses as much as digits as its factorization.

10101000013241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10101000013241 its reverse (14231000010101), we get a palindrome (24332000023342).

The spelling of 10101000013241 in words is "ten trillion, one hundred one billion, thirteen thousand, two hundred forty-one".