10100101110041 has 2 divisors, whose sum is σ = 10100101110042. Its totient is φ = 10100101110040.

The previous prime is 10100101110017. The next prime is 10100101110059. The reversal of 10100101110041 is 14001110100101.

It is a happy number.

10100101110041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9329970250000 + 770130860041 = 3054500^2 + 877571^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101110041 - 2¹⁰ = 10100101109017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100101110091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050555020 + 5050050555021.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050555021).

Almost surely, 2^{10100101110041} is an apocalyptic number.

It is an amenable number.

10100101110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101110041 is an equidigital number, since it uses as much as digits as its factorization.

10100101110041 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 10100101110041 its reverse (14001110100101), we get a palindrome (24101211210142).

The spelling of 10100101110041 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, forty-one".