100205301089 has 2 divisors, whose sum is σ = 100205301090. Its totient is φ = 100205301088.

The previous prime is 100205301073. The next prime is 100205301151. The reversal of 100205301089 is 980103502001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97286600464 + 2918700625 = 311908^2 + 54025^2 .

It is a cyclic number.

It is not a de Polignac number, because 100205301089 - 2⁴ = 100205301073 is a prime.

It is a super-2 number, since 2×100205301089² (a number of 23 digits) contains 22 as substring.

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 (100205001089) 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, 50102650544 + 50102650545.

It is an arithmetic number, because the mean of its divisors is an integer number (50102650545).

Almost surely, 2^100205301089 is an apocalyptic number.

It is an amenable number.

100205301089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100205301089 is an equidigital number, since it uses as much as digits as its factorization.

100205301089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 100205301089 in words is "one hundred billion, two hundred five million, three hundred one thousand, eighty-nine".