10100133161 has 2 divisors, whose sum is σ = 10100133162. Its totient is φ = 10100133160.

The previous prime is 10100133073. The next prime is 10100133179. The reversal of 10100133161 is 16133100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6408963136 + 3691170025 = 80056^2 + 60755^2 .

It is an emirp because it is prime and its reverse (16133100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100133161 - 2¹⁴ = 10100116777 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100133181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050066580 + 5050066581.

It is an arithmetic number, because the mean of its divisors is an integer number (5050066581).

Almost surely, 2^10100133161 is an apocalyptic number.

It is an amenable number.

10100133161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100133161 is an equidigital number, since it uses as much as digits as its factorization.

10100133161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10100133161 its reverse (16133100101), we get a palindrome (26233233262).

The spelling of 10100133161 in words is "ten billion, one hundred million, one hundred thirty-three thousand, one hundred sixty-one".