2101782608897 has 2 divisors, whose sum is σ = 2101782608898. Its totient is φ = 2101782608896.

The previous prime is 2101782608873. The next prime is 2101782608941. The reversal of 2101782608897 is 7988062871012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085702086416 + 16080522481 = 1444196^2 + 126809^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101782608897 - 2¹⁸ = 2101782346753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101782608197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050891304448 + 1050891304449.

It is an arithmetic number, because the mean of its divisors is an integer number (1050891304449).

Almost surely, 2^{2101782608897} is an apocalyptic number.

It is an amenable number.

2101782608897 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101782608897 is an equidigital number, since it uses as much as digits as its factorization.

2101782608897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5419008, while the sum is 59.

The spelling of 2101782608897 in words is "two trillion, one hundred one billion, seven hundred eighty-two million, six hundred eight thousand, eight hundred ninety-seven".