101010100111091 has 2 divisors, whose sum is σ = 101010100111092. Its totient is φ = 101010100111090.

The previous prime is 101010100111057. The next prime is 101010100111121. The reversal of 101010100111091 is 190111001010101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101010100111091 - 2¹⁰ = 101010100110067 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010100110091) 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, 50505050055545 + 50505050055546.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050055546).

Almost surely, 2^{101010100111091} is an apocalyptic number.

101010100111091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100111091 is an equidigital number, since it uses as much as digits as its factorization.

101010100111091 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 17.

Adding to 101010100111091 its reverse (190111001010101), we get a palindrome (291121101121192).

The spelling of 101010100111091 in words is "one hundred one trillion, ten billion, one hundred million, one hundred eleven thousand, ninety-one".