10091000091041 has 2 divisors, whose sum is σ = 10091000091042. Its totient is φ = 10091000091040.

The previous prime is 10091000090989. The next prime is 10091000091071. The reversal of 10091000091041 is 14019000019001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9081809068816 + 1009191022225 = 3013604^2 + 1004585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091000091041 - 2¹⁴ = 10091000074657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10091000091041.

It is not a weakly prime, because it can be changed into another prime (10091000091071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045500045520 + 5045500045521.

It is an arithmetic number, because the mean of its divisors is an integer number (5045500045521).

Almost surely, 2^{10091000091041} is an apocalyptic number.

It is an amenable number.

10091000091041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091000091041 is an equidigital number, since it uses as much as digits as its factorization.

10091000091041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 10091000091041 in words is "ten trillion, ninety-one billion, ninety-one thousand, forty-one".