10102001102191 has 2 divisors, whose sum is σ = 10102001102192. Its totient is φ = 10102001102190.

The previous prime is 10102001102177. The next prime is 10102001102329. The reversal of 10102001102191 is 19120110020101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10102001102191 - 2⁵ = 10102001102159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102001102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000551095 + 5051000551096.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000551096).

Almost surely, 2^{10102001102191} is an apocalyptic number.

10102001102191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102001102191 is an equidigital number, since it uses as much as digits as its factorization.

10102001102191 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 10102001102191 its reverse (19120110020101), we get a palindrome (29222111122292).

The spelling of 10102001102191 in words is "ten trillion, one hundred two billion, one million, one hundred two thousand, one hundred ninety-one".