1001010110161 has 2 divisors, whose sum is σ = 1001010110162. Its totient is φ = 1001010110160.

The previous prime is 1001010110153. The next prime is 1001010110167. The reversal of 1001010110161 is 1610110101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 656140500625 + 344869609536 = 810025^2 + 587256^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010110161 - 2³ = 1001010110153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001010110167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505055080 + 500505055081.

It is an arithmetic number, because the mean of its divisors is an integer number (500505055081).

Almost surely, 2^{1001010110161} is an apocalyptic number.

It is an amenable number.

1001010110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010110161 is an equidigital number, since it uses as much as digits as its factorization.

1001010110161 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 1001010110161 its reverse (1610110101001), we get a palindrome (2611120211162).

The spelling of 1001010110161 in words is "one trillion, one billion, ten million, one hundred ten thousand, one hundred sixty-one".