114561101 has 2 divisors, whose sum is σ = 114561102. Its totient is φ = 114561100.

The previous prime is 114561061. The next prime is 114561103. The reversal of 114561101 is 101165411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114169225 + 391876 = 10685^2 + 626^2 .

It is an emirp because it is prime and its reverse (101165411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114561101 - 2²² = 110366797 is a prime.

Together with 114561103, 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 (114561103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57280550 + 57280551.

It is an arithmetic number, because the mean of its divisors is an integer number (57280551).

Almost surely, 2^114561101 is an apocalyptic number.

It is an amenable number.

114561101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114561101 is an equidigital number, since it uses as much as digits as its factorization.

114561101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 114561101 is about 10703.3219609615. The cubic root of 114561101 is about 485.6749747514.

The spelling of 114561101 in words is "one hundred fourteen million, five hundred sixty-one thousand, one hundred one".