100001101110161 has 2 divisors, whose sum is σ = 100001101110162. Its totient is φ = 100001101110160.

The previous prime is 100001101109993. The next prime is 100001101110167. The reversal of 100001101110161 is 161011101100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87196376410000 + 12804724700161 = 9337900^2 + 3578369^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001101110161 - 2¹⁰ = 100001101109137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001101110167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550555080 + 50000550555081.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550555081).

Almost surely, 2^{100001101110161} is an apocalyptic number.

It is an amenable number.

100001101110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101110161 is an equidigital number, since it uses as much as digits as its factorization.

100001101110161 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 14.

Adding to 100001101110161 its reverse (161011101100001), we get a palindrome (261012202210162).

The spelling of 100001101110161 in words is "one hundred trillion, one billion, one hundred one million, one hundred ten thousand, one hundred sixty-one".