100100009173 has 2 divisors, whose sum is σ = 100100009174. Its totient is φ = 100100009172.

The previous prime is 100100009159. The next prime is 100100009197. The reversal of 100100009173 is 371900001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97389557329 + 2710451844 = 312073^2 + 52062^2 .

It is an emirp because it is prime and its reverse (371900001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100009173 - 2¹⁷ = 100099878101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100009473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050004586 + 50050004587.

It is an arithmetic number, because the mean of its divisors is an integer number (50050004587).

Almost surely, 2^100100009173 is an apocalyptic number.

It is an amenable number.

100100009173 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100009173 is an equidigital number, since it uses as much as digits as its factorization.

100100009173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 22.

The spelling of 100100009173 in words is "one hundred billion, one hundred million, nine thousand, one hundred seventy-three".