10001110101091 has 2 divisors, whose sum is σ = 10001110101092. Its totient is φ = 10001110101090.

The previous prime is 10001110101089. The next prime is 10001110101107. The reversal of 10001110101091 is 19010101110001.

It is an a-pointer prime, because the next prime (10001110101107) can be obtained adding 10001110101091 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001110101091 - 2¹ = 10001110101089 is a prime.

Together with 10001110101089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10001110101041) 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, 5000555050545 + 5000555050546.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555050546).

Almost surely, 2^{10001110101091} is an apocalyptic number.

10001110101091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001110101091 is an equidigital number, since it uses as much as digits as its factorization.

10001110101091 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 10001110101091 its reverse (19010101110001), we get a palindrome (29011211211092).

The spelling of 10001110101091 in words is "ten trillion, one billion, one hundred ten million, one hundred one thousand, ninety-one".