10000100010191 has 2 divisors, whose sum is σ = 10000100010192. Its totient is φ = 10000100010190.

The previous prime is 10000100010137. The next prime is 10000100010217. The reversal of 10000100010191 is 19101000100001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (19101000100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000100010191 - 2¹⁸ = 10000099748047 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000100090191) 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, 5000050005095 + 5000050005096.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050005096).

Almost surely, 2^{10000100010191} is an apocalyptic number.

10000100010191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100010191 is an equidigital number, since it uses as much as digits as its factorization.

10000100010191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 10000100010191 its reverse (19101000100001), we get a palindrome (29101100110192).

The spelling of 10000100010191 in words is "ten trillion, one hundred million, ten thousand, one hundred ninety-one".