100032200103089 has 2 divisors, whose sum is σ = 100032200103090. Its totient is φ = 100032200103088.

The previous prime is 100032200103071. The next prime is 100032200103109. The reversal of 100032200103089 is 980301002230001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91145839103089 + 8886361000000 = 9547033^2 + 2981000^2 .

It is a cyclic number.

It is not a de Polignac number, because 100032200103089 - 2²⁴ = 100032183325873 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 (100032200153089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016100051544 + 50016100051545.

It is an arithmetic number, because the mean of its divisors is an integer number (50016100051545).

Almost surely, 2^{100032200103089} is an apocalyptic number.

It is an amenable number.

100032200103089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100032200103089 is an equidigital number, since it uses as much as digits as its factorization.

100032200103089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 100032200103089 in words is "one hundred trillion, thirty-two billion, two hundred million, one hundred three thousand, eighty-nine".