10000100161 has 2 divisors, whose sum is σ = 10000100162. Its totient is φ = 10000100160.

The previous prime is 10000100141. The next prime is 10000100207. The reversal of 10000100161 is 16100100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5065880625 + 4934219536 = 71175^2 + 70244^2 .

It is an emirp because it is prime and its reverse (16100100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000100161 - 2⁹ = 10000099649 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000100141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050080 + 5000050081.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050081).

Almost surely, 2^10000100161 is an apocalyptic number.

It is an amenable number.

10000100161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100161 is an equidigital number, since it uses as much as digits as its factorization.

10000100161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10000100161 its reverse (16100100001), we get a palindrome (26100200162).

The spelling of 10000100161 in words is "ten billion, one hundred thousand, one hundred sixty-one".