101101100101091 has 2 divisors, whose sum is σ = 101101100101092. Its totient is φ = 101101100101090.

The previous prime is 101101100101073. The next prime is 101101100101151. The reversal of 101101100101091 is 190101001101101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101100101091 is a prime.

It is a super-2 number, since 2×101101100101091² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101101100101051) 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, 50550550050545 + 50550550050546.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550050546).

Almost surely, 2^{101101100101091} is an apocalyptic number.

101101100101091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100101091 is an equidigital number, since it uses as much as digits as its factorization.

101101100101091 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 101101100101091 its reverse (190101001101101), we get a palindrome (291202101202192).

The spelling of 101101100101091 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, ninety-one".