2101100208089 has 2 divisors, whose sum is σ = 2101100208090. Its totient is φ = 2101100208088.

The previous prime is 2101100208071. The next prime is 2101100208161. The reversal of 2101100208089 is 9808020011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1794313830400 + 306786377689 = 1339520^2 + 553883^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100208089 - 2²⁰ = 2101099159513 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101100208989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550104044 + 1050550104045.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550104045).

Almost surely, 2^{2101100208089} is an apocalyptic number.

It is an amenable number.

2101100208089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100208089 is an equidigital number, since it uses as much as digits as its factorization.

2101100208089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 2101100208089 in words is "two trillion, one hundred one billion, one hundred million, two hundred eight thousand, eighty-nine".