114648101 has 2 divisors, whose sum is σ = 114648102. Its totient is φ = 114648100.

The previous prime is 114648073. The next prime is 114648113. The reversal of 114648101 is 101846411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114597025 + 51076 = 10705^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 114648101 - 2¹⁰ = 114647077 is a prime.

It is a Sophie Germain prime.

It is a Chen 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 (114648161) 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, 57324050 + 57324051.

It is an arithmetic number, because the mean of its divisors is an integer number (57324051).

Almost surely, 2^114648101 is an apocalyptic number.

It is an amenable number.

114648101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114648101 is an equidigital number, since it uses as much as digits as its factorization.

114648101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 114648101 is about 10707.3853484406. The cubic root of 114648101 is about 485.7978874179.

The spelling of 114648101 in words is "one hundred fourteen million, six hundred forty-eight thousand, one hundred one".