10001132161 has 2 divisors, whose sum is σ = 10001132162. Its totient is φ = 10001132160.

The previous prime is 10001132101. The next prime is 10001132179. The reversal of 10001132161 is 16123110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9654241536 + 346890625 = 98256^2 + 18625^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001132161 - 2⁷ = 10001132033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000566080 + 5000566081.

It is an arithmetic number, because the mean of its divisors is an integer number (5000566081).

Almost surely, 2^10001132161 is an apocalyptic number.

It is an amenable number.

10001132161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001132161 is an equidigital number, since it uses as much as digits as its factorization.

10001132161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10001132161 its reverse (16123110001), we get a palindrome (26124242162).

The spelling of 10001132161 in words is "ten billion, one million, one hundred thirty-two thousand, one hundred sixty-one".