100011110000089 has 2 divisors, whose sum is σ = 100011110000090. Its totient is φ = 100011110000088.

The previous prime is 100011110000003. The next prime is 100011110000101. The reversal of 100011110000089 is 980000011110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96520957442064 + 3490152558025 = 9824508^2 + 1868195^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011110000089 - 2¹⁷ = 100011109869017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011120000089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555000044 + 50005555000045.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555000045).

Almost surely, 2^{100011110000089} is an apocalyptic number.

It is an amenable number.

100011110000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011110000089 is an equidigital number, since it uses as much as digits as its factorization.

100011110000089 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 22.

The spelling of 100011110000089 in words is "one hundred trillion, eleven billion, one hundred ten million, eighty-nine", and thus it is an aban number.