1000111129 has 2 divisors, whose sum is σ = 1000111130. Its totient is φ = 1000111128.

The previous prime is 1000111121. The next prime is 1000111141. The reversal of 1000111129 is 9211110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 796763529 + 203347600 = 28227^2 + 14260^2 .

It is an emirp because it is prime and its reverse (9211110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000111129 - 2³ = 1000111121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055564 + 500055565.

It is an arithmetic number, because the mean of its divisors is an integer number (500055565).

Almost surely, 2^1000111129 is an apocalyptic number.

It is an amenable number.

1000111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000111129 is an equidigital number, since it uses as much as digits as its factorization.

1000111129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The square root of 1000111129 is about 31624.5336566407. The cubic root of 1000111129 is about 1000.0370416279.

The spelling of 1000111129 in words is "one billion, one hundred eleven thousand, one hundred twenty-nine".