10101100110091 has 2 divisors, whose sum is σ = 10101100110092. Its totient is φ = 10101100110090.

The previous prime is 10101100110067. The next prime is 10101100110121. The reversal of 10101100110091 is 19001100110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10101100110091 - 2⁷ = 10101100109963 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101100110041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550055045 + 5050550055046.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550055046).

Almost surely, 2^{10101100110091} is an apocalyptic number.

10101100110091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100110091 is an equidigital number, since it uses as much as digits as its factorization.

10101100110091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 10101100110091 its reverse (19001100110101), we get a palindrome (29102200220192).

The spelling of 10101100110091 in words is "ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, ninety-one".