101001000011161 has 2 divisors, whose sum is σ = 101001000011162. Its totient is φ = 101001000011160.

The previous prime is 101001000011159. The next prime is 101001000011203. The reversal of 101001000011161 is 161110000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89121982917136 + 11879017094025 = 9440444^2 + 3446595^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000011161 - 2¹ = 101001000011159 is a prime.

Together with 101001000011159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101007000011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500005580 + 50500500005581.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500005581).

Almost surely, 2^{101001000011161} is an apocalyptic number.

It is an amenable number.

101001000011161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000011161 is an equidigital number, since it uses as much as digits as its factorization.

101001000011161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101001000011161 its reverse (161110000100101), we get a palindrome (262111000111262).

The spelling of 101001000011161 in words is "one hundred one trillion, one billion, eleven thousand, one hundred sixty-one".