2101333320217 has 2 divisors, whose sum is σ = 2101333320218. Its totient is φ = 2101333320216.

The previous prime is 2101333320211. The next prime is 2101333320263. The reversal of 2101333320217 is 7120233331012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2094651238681 + 6682081536 = 1447291^2 + 81744^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101333320217 - 2²⁷ = 2101199102489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101333320211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050666660108 + 1050666660109.

It is an arithmetic number, because the mean of its divisors is an integer number (1050666660109).

Almost surely, 2^{2101333320217} is an apocalyptic number.

It is an amenable number.

2101333320217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101333320217 is an equidigital number, since it uses as much as digits as its factorization.

2101333320217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 2101333320217 its reverse (7120233331012), we get a palindrome (9221566651229).

The spelling of 2101333320217 in words is "two trillion, one hundred one billion, three hundred thirty-three million, three hundred twenty thousand, two hundred seventeen".