2001114042041 has 2 divisors, whose sum is σ = 2001114042042. Its totient is φ = 2001114042040.

The previous prime is 2001114042029. The next prime is 2001114042097. The reversal of 2001114042041 is 1402404111002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1781250583225 + 219863458816 = 1334635^2 + 468896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001114042041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001114042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000557021020 + 1000557021021.

It is an arithmetic number, because the mean of its divisors is an integer number (1000557021021).

Almost surely, 2^{2001114042041} is an apocalyptic number.

It is an amenable number.

2001114042041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001114042041 is an equidigital number, since it uses as much as digits as its factorization.

2001114042041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2001114042041 its reverse (1402404111002), we get a palindrome (3403518153043).

The spelling of 2001114042041 in words is "two trillion, one billion, one hundred fourteen million, forty-two thousand, forty-one".