114933101 has 2 divisors, whose sum is σ = 114933102. Its totient is φ = 114933100.

The previous prime is 114933079. The next prime is 114933103. The reversal of 114933101 is 101339411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114169225 + 763876 = 10685^2 + 874^2 .

It is a cyclic number.

It is not a de Polignac number, because 114933101 - 2⁶ = 114933037 is a prime.

Together with 114933103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114933103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57466550 + 57466551.

It is an arithmetic number, because the mean of its divisors is an integer number (57466551).

Almost surely, 2^114933101 is an apocalyptic number.

It is an amenable number.

114933101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114933101 is an equidigital number, since it uses as much as digits as its factorization.

114933101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 114933101 is about 10720.6856590425. The cubic root of 114933101 is about 486.2000973982.

The spelling of 114933101 in words is "one hundred fourteen million, nine hundred thirty-three thousand, one hundred one".