10010122101041 has 2 divisors, whose sum is σ = 10010122101042. Its totient is φ = 10010122101040.

The previous prime is 10010122101011. The next prime is 10010122101043. The reversal of 10010122101041 is 14010122101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9418122658816 + 591999442225 = 3068896^2 + 769415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010122101041 is a prime.

Together with 10010122101043, 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 (10010122101043) 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, 5005061050520 + 5005061050521.

It is an arithmetic number, because the mean of its divisors is an integer number (5005061050521).

Almost surely, 2^{10010122101041} is an apocalyptic number.

It is an amenable number.

10010122101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010122101041 is an equidigital number, since it uses as much as digits as its factorization.

10010122101041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10010122101041 its reverse (14010122101001), we get a palindrome (24020244202042).

The spelling of 10010122101041 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred one thousand, forty-one".