114038101 has 2 divisors, whose sum is σ = 114038102. Its totient is φ = 114038100.

The previous prime is 114038081. The next prime is 114038129. The reversal of 114038101 is 101830411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109202500 + 4835601 = 10450^2 + 2199^2 .

It is a cyclic number.

It is not a de Polignac number, because 114038101 - 2¹⁷ = 113907029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114038161) 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 as a sum of consecutive naturals, namely, 57019050 + 57019051.

It is an arithmetic number, because the mean of its divisors is an integer number (57019051).

Almost surely, 2^114038101 is an apocalyptic number.

It is an amenable number.

114038101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114038101 is an equidigital number, since it uses as much as digits as its factorization.

114038101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 114038101 is about 10678.8623457745. The cubic root of 114038101 is about 484.9347714027.

Adding to 114038101 its reverse (101830411), we get a palindrome (215868512).

The spelling of 114038101 in words is "one hundred fourteen million, thirty-eight thousand, one hundred one".