2101166980673 has 2 divisors, whose sum is σ = 2101166980674. Its totient is φ = 2101166980672.

The previous prime is 2101166980657. The next prime is 2101166980681. The reversal of 2101166980673 is 3760896611012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2067173946289 + 33993034384 = 1437767^2 + 184372^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101166980673 - 2⁴ = 2101166980657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2101166983673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050583490336 + 1050583490337.

It is an arithmetic number, because the mean of its divisors is an integer number (1050583490337).

Almost surely, 2^{2101166980673} is an apocalyptic number.

It is an amenable number.

2101166980673 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101166980673 is an equidigital number, since it uses as much as digits as its factorization.

2101166980673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 2101166980673 in words is "two trillion, one hundred one billion, one hundred sixty-six million, nine hundred eighty thousand, six hundred seventy-three".