100191900097 has 2 divisors, whose sum is σ = 100191900098. Its totient is φ = 100191900096.

The previous prime is 100191900091. The next prime is 100191900101. The reversal of 100191900097 is 790009191001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70418052496 + 29773847601 = 265364^2 + 172551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100191900097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100191900091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50095950048 + 50095950049.

It is an arithmetic number, because the mean of its divisors is an integer number (50095950049).

Almost surely, 2^100191900097 is an apocalyptic number.

It is an amenable number.

100191900097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100191900097 is an equidigital number, since it uses as much as digits as its factorization.

100191900097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 37.

The spelling of 100191900097 in words is "one hundred billion, one hundred ninety-one million, nine hundred thousand, ninety-seven".