10000001041 has 2 divisors, whose sum is σ = 10000001042. Its totient is φ = 10000001040.

The previous prime is 10000000999. The next prime is 10000001047. The reversal of 10000001041 is 14010000001.

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., 9999200016 + 801025 = 99996^2 + 895^2 .

It is an emirp because it is prime and its reverse (14010000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000001041 - 2¹⁵ = 9999968273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000001047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000520 + 5000000521.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000521).

Almost surely, 2^10000001041 is an apocalyptic number.

It is an amenable number.

10000001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001041 is an equidigital number, since it uses as much as digits as its factorization.

10000001041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000001041 its reverse (14010000001), we get a palindrome (24010001042).

The spelling of 10000001041 in words is "ten billion, one thousand, forty-one".