10010006106041 has 2 divisors, whose sum is σ = 10010006106042. Its totient is φ = 10010006106040.

The previous prime is 10010006105999. The next prime is 10010006106071. The reversal of 10010006106041 is 14060160001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8852832587641 + 1157173518400 = 2975371^2 + 1075720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010006106041 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010006106071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005003053020 + 5005003053021.

It is an arithmetic number, because the mean of its divisors is an integer number (5005003053021).

Almost surely, 2^{10010006106041} is an apocalyptic number.

It is an amenable number.

10010006106041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010006106041 is an equidigital number, since it uses as much as digits as its factorization.

10010006106041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10010006106041 its reverse (14060160001001), we get a palindrome (24070166107042).

The spelling of 10010006106041 in words is "ten trillion, ten billion, six million, one hundred six thousand, forty-one".