1000100003141 has 2 divisors, whose sum is σ = 1000100003142. Its totient is φ = 1000100003140.

The previous prime is 1000100003117. The next prime is 1000100003197. The reversal of 1000100003141 is 1413000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994100726116 + 5999277025 = 997046^2 + 77455^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100003141 - 2¹⁴ = 1000099986757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100003741) 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, 500050001570 + 500050001571.

It is an arithmetic number, because the mean of its divisors is an integer number (500050001571).

Almost surely, 2^{1000100003141} is an apocalyptic number.

It is an amenable number.

1000100003141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100003141 is an equidigital number, since it uses as much as digits as its factorization.

1000100003141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1000100003141 its reverse (1413000010001), we get a palindrome (2413100013142).

The spelling of 1000100003141 in words is "one trillion, one hundred million, three thousand, one hundred forty-one".