4140114101 has 2 divisors, whose sum is σ = 4140114102. Its totient is φ = 4140114100.

The previous prime is 4140114073. The next prime is 4140114151. The reversal of 4140114101 is 1014110414.

4140114101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4127934001 + 12180100 = 64249^2 + 3490^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140114101 - 2¹⁰ = 4140113077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4140114101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4140114151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070057050 + 2070057051.

It is an arithmetic number, because the mean of its divisors is an integer number (2070057051).

Almost surely, 2^4140114101 is an apocalyptic number.

It is an amenable number.

4140114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140114101 is an equidigital number, since it uses as much as digits as its factorization.

4140114101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 4140114101 is about 64343.7184268985. The cubic root of 4140114101 is about 1605.7235249431.

Adding to 4140114101 its reverse (1014110414), we get a palindrome (5154224515).

The spelling of 4140114101 in words is "four billion, one hundred forty million, one hundred fourteen thousand, one hundred one".