1000100001041 has 2 divisors, whose sum is σ = 1000100001042. Its totient is φ = 1000100001040.

The previous prime is 1000100001011. The next prime is 1000100001133. The reversal of 1000100001041 is 1401000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 872010454225 + 128089546816 = 933815^2 + 357896^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100001041 - 2²² = 1000095806737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1000100001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050000520 + 500050000521.

It is an arithmetic number, because the mean of its divisors is an integer number (500050000521).

Almost surely, 2^{1000100001041} is an apocalyptic number.

It is an amenable number.

1000100001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100001041 is an equidigital number, since it uses as much as digits as its factorization.

1000100001041 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 8.

Adding to 1000100001041 its reverse (1401000010001), we get a palindrome (2401100011042).

The spelling of 1000100001041 in words is "one trillion, one hundred million, one thousand, forty-one".