101100101001091 has 2 divisors, whose sum is σ = 101100101001092. Its totient is φ = 101100101001090.

The previous prime is 101100101001089. The next prime is 101100101001127. The reversal of 101100101001091 is 190100101001101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101100101001091 - 2¹ = 101100101001089 is a prime.

Together with 101100101001089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101100101001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050500545 + 50550050500546.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050500546).

Almost surely, 2^{101100101001091} is an apocalyptic number.

101100101001091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100101001091 is an equidigital number, since it uses as much as digits as its factorization.

101100101001091 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 101100101001091 its reverse (190100101001101), we get a palindrome (291200202002192).

The spelling of 101100101001091 in words is "one hundred one trillion, one hundred billion, one hundred one million, one thousand, ninety-one".