100100009197 has 2 divisors, whose sum is σ = 100100009198. Its totient is φ = 100100009196.

The previous prime is 100100009173. The next prime is 100100009209. The reversal of 100100009197 is 791900001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92330291881 + 7769717316 = 303859^2 + 88146^2 .

It is an emirp because it is prime and its reverse (791900001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100009197 - 2²⁷ = 99965791469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100007197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050004598 + 50050004599.

It is an arithmetic number, because the mean of its divisors is an integer number (50050004599).

Almost surely, 2^100100009197 is an apocalyptic number.

It is an amenable number.

100100009197 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100009197 is an equidigital number, since it uses as much as digits as its factorization.

100100009197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 28.

The spelling of 100100009197 in words is "one hundred billion, one hundred million, nine thousand, one hundred ninety-seven".