10100010000191 has 2 divisors, whose sum is σ = 10100010000192. Its totient is φ = 10100010000190.

The previous prime is 10100010000173. The next prime is 10100010000203. The reversal of 10100010000191 is 19100001000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100010000191 - 2¹⁴ = 10100009983807 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010000391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005000095 + 5050005000096.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005000096).

Almost surely, 2^{10100010000191} is an apocalyptic number.

10100010000191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010000191 is an equidigital number, since it uses as much as digits as its factorization.

10100010000191 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 10100010000191 its reverse (19100001000101), we get a palindrome (29200011000292).

The spelling of 10100010000191 in words is "ten trillion, one hundred billion, ten million, one hundred ninety-one", and thus it is an aban number.