100205219304191 has 2 divisors, whose sum is σ = 100205219304192. Its totient is φ = 100205219304190.

The previous prime is 100205219304181. The next prime is 100205219304217. The reversal of 100205219304191 is 191403912502001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100205219304191 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100205219304181) 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, 50102609652095 + 50102609652096.

It is an arithmetic number, because the mean of its divisors is an integer number (50102609652096).

Almost surely, 2^{100205219304191} is an apocalyptic number.

100205219304191 is a deficient number, since it is larger than the sum of its proper divisors (1).

100205219304191 is an equidigital number, since it uses as much as digits as its factorization.

100205219304191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 38.

The spelling of 100205219304191 in words is "one hundred trillion, two hundred five billion, two hundred nineteen million, three hundred four thousand, one hundred ninety-one".