3000114101 has 2 divisors, whose sum is σ = 3000114102. Its totient is φ = 3000114100.

The previous prime is 3000114053. The next prime is 3000114107. The reversal of 3000114101 is 1014110003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2999752900 + 361201 = 54770^2 + 601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3000114101 is a prime.

It is a super-4 number, since 4×3000114101⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000114107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500057050 + 1500057051.

It is an arithmetic number, because the mean of its divisors is an integer number (1500057051).

Almost surely, 2^3000114101 is an apocalyptic number.

It is an amenable number.

3000114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000114101 is an equidigital number, since it uses as much as digits as its factorization.

3000114101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 3000114101 is about 54773.2973354718. The cubic root of 3000114101 is about 1442.2678547554.

Adding to 3000114101 its reverse (1014110003), we get a palindrome (4014224104).

The spelling of 3000114101 in words is "three billion, one hundred fourteen thousand, one hundred one".