1000100161 has 2 divisors, whose sum is σ = 1000100162. Its totient is φ = 1000100160.

The previous prime is 1000100077. The next prime is 1000100173. The reversal of 1000100161 is 1610010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 627803136 + 372297025 = 25056^2 + 19295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100161 - 2⁷ = 1000100033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000100561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050080 + 500050081.

It is an arithmetic number, because the mean of its divisors is an integer number (500050081).

Almost surely, 2^1000100161 is an apocalyptic number.

It is an amenable number.

1000100161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100161 is an equidigital number, since it uses as much as digits as its factorization.

1000100161 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.

The square root of 1000100161 is about 31624.3602464935. The cubic root of 1000100161 is about 1000.0333858854.

Adding to 1000100161 its reverse (1610010001), we get a palindrome (2610110162).

The spelling of 1000100161 in words is "one billion, one hundred thousand, one hundred sixty-one".