2101334331017 has 2 divisors, whose sum is σ = 2101334331018. Its totient is φ = 2101334331016.

The previous prime is 2101334330999. The next prime is 2101334331029. The reversal of 2101334331017 is 7101334331012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1473240040441 + 628094290576 = 1213771^2 + 792524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101334331017 - 2²⁰ = 2101333282441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101334331077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050667165508 + 1050667165509.

It is an arithmetic number, because the mean of its divisors is an integer number (1050667165509).

Almost surely, 2^{2101334331017} is an apocalyptic number.

It is an amenable number.

2101334331017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101334331017 is an equidigital number, since it uses as much as digits as its factorization.

2101334331017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 2101334331017 its reverse (7101334331012), we get a palindrome (9202668662029).

The spelling of 2101334331017 in words is "two trillion, one hundred one billion, three hundred thirty-four million, three hundred thirty-one thousand, seventeen".