10100101110091 has 2 divisors, whose sum is σ = 10100101110092. Its totient is φ = 10100101110090.

The previous prime is 10100101110083. The next prime is 10100101110109. The reversal of 10100101110091 is 19001110100101.

Together with next prime (10100101110109) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100101110091 - 2³ = 10100101110083 is a prime.

It is a super-2 number, since 2×10100101110091² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100101110041) 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, 5050050555045 + 5050050555046.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050555046).

Almost surely, 2^{10100101110091} is an apocalyptic number.

10100101110091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101110091 is an equidigital number, since it uses as much as digits as its factorization.

10100101110091 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 16.

Adding to 10100101110091 its reverse (19001110100101), we get a palindrome (29101211210192).

The spelling of 10100101110091 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, ninety-one".