338116101 has 32 divisors (see below), whose sum is σ = 483345408. Its totient is φ = 209848320.

The previous prime is 338116067. The next prime is 338116151. The reversal of 338116101 is 101611833.

It is not a de Polignac number, because 338116101 - 2¹⁷ = 337985029 is a prime.

It is a super-2 number, since 2×338116101² = 228644995510884402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338116151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333271 + ... + 334283.

It is an arithmetic number, because the mean of its divisors is an integer number (15104544).

Almost surely, 2^338116101 is an apocalyptic number.

338116101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

338116101 is a deficient number, since it is larger than the sum of its proper divisors (145229307).

338116101 is a wasteful number, since it uses less digits than its factorization.

338116101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 338116101 is about 18387.9335706871. The cubic root of 338116101 is about 696.6617249204.

Adding to 338116101 its reverse (101611833), we get a palindrome (439727934).

The spelling of 338116101 in words is "three hundred thirty-eight million, one hundred sixteen thousand, one hundred one".