100100001000089 has 2 divisors, whose sum is σ = 100100001000090. Its totient is φ = 100100001000088.

The previous prime is 100100001000001. The next prime is 100100001000217. The reversal of 100100001000089 is 980000100001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54712724208025 + 45387276792064 = 7396805^2 + 6737008^2 .

It is an emirp because it is prime and its reverse (980000100001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100001000089 - 2¹² = 100100000995993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100001000089.

It is not a weakly prime, because it can be changed into another prime (100100001000289) 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, 50050000500044 + 50050000500045.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000500045).

Almost surely, 2^{100100001000089} is an apocalyptic number.

It is an amenable number.

100100001000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100001000089 is an equidigital number, since it uses as much as digits as its factorization.

100100001000089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100100001000089 in words is "one hundred trillion, one hundred billion, one million, eighty-nine", and thus it is an aban number.