101011011000091 has 2 divisors, whose sum is σ = 101011011000092. Its totient is φ = 101011011000090.

The previous prime is 101011011000089. The next prime is 101011011000157. The reversal of 101011011000091 is 190000110110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101011011000091 - 2¹ = 101011011000089 is a prime.

Together with 101011011000089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101011011000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505500045 + 50505505500046.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505500046).

Almost surely, 2^{101011011000091} is an apocalyptic number.

101011011000091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011011000091 is an equidigital number, since it uses as much as digits as its factorization.

101011011000091 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 101011011000091 its reverse (190000110110101), we get a palindrome (291011121110192).

The spelling of 101011011000091 in words is "one hundred one trillion, eleven billion, eleven million, ninety-one", and thus it is an aban number.