10100011011091 has 2 divisors, whose sum is σ = 10100011011092. Its totient is φ = 10100011011090.

The previous prime is 10100011011089. The next prime is 10100011011109. The reversal of 10100011011091 is 19011011000101.

Together with next prime (10100011011109) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is an emirp because it is prime and its reverse (19011011000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100011011091 - 2¹ = 10100011011089 is a prime.

Together with 10100011011089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100011011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005505545 + 5050005505546.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005505546).

Almost surely, 2^{10100011011091} is an apocalyptic number.

10100011011091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011011091 is an equidigital number, since it uses as much as digits as its factorization.

10100011011091 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 10100011011091 its reverse (19011011000101), we get a palindrome (29111022011192).

The spelling of 10100011011091 in words is "ten trillion, one hundred billion, eleven million, eleven thousand, ninety-one".