111004114129 has 2 divisors, whose sum is σ = 111004114130. Its totient is φ = 111004114128.

The previous prime is 111004114121. The next prime is 111004114147. The reversal of 111004114129 is 921411400111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110987589904 + 16524225 = 333148^2 + 4065^2 .

It is an emirp because it is prime and its reverse (921411400111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111004114129 - 2³ = 111004114121 is a prime.

It is not a weakly prime, because it can be changed into another prime (111004114121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55502057064 + 55502057065.

It is an arithmetic number, because the mean of its divisors is an integer number (55502057065).

Almost surely, 2^111004114129 is an apocalyptic number.

It is an amenable number.

111004114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111004114129 is an equidigital number, since it uses as much as digits as its factorization.

111004114129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 111004114129 in words is "one hundred eleven billion, four million, one hundred fourteen thousand, one hundred twenty-nine".