100100033667089 has 2 divisors, whose sum is σ = 100100033667090. Its totient is φ = 100100033667088.

The previous prime is 100100033667031. The next prime is 100100033667167. The reversal of 100100033667089 is 980766330001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97007036116225 + 3092997550864 = 9849215^2 + 1758692^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100033667089 - 2¹⁶ = 100100033601553 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100033667019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050016833544 + 50050016833545.

It is an arithmetic number, because the mean of its divisors is an integer number (50050016833545).

Almost surely, 2^{100100033667089} is an apocalyptic number.

It is an amenable number.

100100033667089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100033667089 is an equidigital number, since it uses as much as digits as its factorization.

100100033667089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 100100033667089 in words is "one hundred trillion, one hundred billion, thirty-three million, six hundred sixty-seven thousand, eighty-nine".