2100413334017 has 2 divisors, whose sum is σ = 2100413334018. Its totient is φ = 2100413334016.

The previous prime is 2100413333989. The next prime is 2100413334031. The reversal of 2100413334017 is 7104333140012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2091034573681 + 9378760336 = 1446041^2 + 96844^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100413334017 - 2²⁰ = 2100412285441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100413334067) 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, 1050206667008 + 1050206667009.

It is an arithmetic number, because the mean of its divisors is an integer number (1050206667009).

Almost surely, 2^{2100413334017} is an apocalyptic number.

It is an amenable number.

2100413334017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100413334017 is an equidigital number, since it uses as much as digits as its factorization.

2100413334017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 2100413334017 its reverse (7104333140012), we get a palindrome (9204746474029).

The spelling of 2100413334017 in words is "two trillion, one hundred billion, four hundred thirteen million, three hundred thirty-four thousand, seventeen".