2101346545873 has 2 divisors, whose sum is σ = 2101346545874. Its totient is φ = 2101346545872.

The previous prime is 2101346545813. The next prime is 2101346545901. The reversal of 2101346545873 is 3785456431012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1138685336464 + 962661209409 = 1067092^2 + 981153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101346545873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101346545813) 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, 1050673272936 + 1050673272937.

It is an arithmetic number, because the mean of its divisors is an integer number (1050673272937).

Almost surely, 2^{2101346545873} is an apocalyptic number.

It is an amenable number.

2101346545873 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101346545873 is an equidigital number, since it uses as much as digits as its factorization.

2101346545873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 2101346545873 in words is "two trillion, one hundred one billion, three hundred forty-six million, five hundred forty-five thousand, eight hundred seventy-three".