10001110101041 has 2 divisors, whose sum is σ = 10001110101042. Its totient is φ = 10001110101040.

The previous prime is 10001110101013. The next prime is 10001110101061. The reversal of 10001110101041 is 14010101110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6242397313441 + 3758712787600 = 2498479^2 + 1938740^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001110101041 - 2²⁶ = 10001042992177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001110101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555050520 + 5000555050521.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555050521).

Almost surely, 2^{10001110101041} is an apocalyptic number.

It is an amenable number.

10001110101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001110101041 is an equidigital number, since it uses as much as digits as its factorization.

10001110101041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001110101041 its reverse (14010101110001), we get a palindrome (24011211211042).

The spelling of 10001110101041 in words is "ten trillion, one billion, one hundred ten million, one hundred one thousand, forty-one".