168100101 has 24 divisors (see below), whose sum is σ = 262470936. Its totient is φ = 103057920.

The previous prime is 168100099. The next prime is 168100109. The reversal of 168100101 is 101001861.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 167573025 = 726^2 + 12945^2 .

It is not a de Polignac number, because 168100101 - 2¹ = 168100099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30321 + ... + 35433.

It is an arithmetic number, because the mean of its divisors is an integer number (10936289).

Almost surely, 2^168100101 is an apocalyptic number.

It is an amenable number.

168100101 is a deficient number, since it is larger than the sum of its proper divisors (94370835).

168100101 is a wasteful number, since it uses less digits than its factorization.

168100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 168100101 is about 12965.3423016903. The cubic root of 168100101 is about 551.8944052111.

Adding to 168100101 its reverse (101001861), we get a palindrome (269101962).

The spelling of 168100101 in words is "one hundred sixty-eight million, one hundred thousand, one hundred one".