1011122129 has 2 divisors, whose sum is σ = 1011122130. Its totient is φ = 1011122128.

The previous prime is 1011122017. The next prime is 1011122131. The reversal of 1011122129 is 9212211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 922762129 + 88360000 = 30377^2 + 9400^2 .

It is an emirp because it is prime and its reverse (9212211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011122129 - 2⁸ = 1011121873 is a prime.

Together with 1011122131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011122129.

It is not a weakly prime, because it can be changed into another prime (1011122429) 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, 505561064 + 505561065.

It is an arithmetic number, because the mean of its divisors is an integer number (505561065).

Almost surely, 2^1011122129 is an apocalyptic number.

It is an amenable number.

1011122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122129 is an equidigital number, since it uses as much as digits as its factorization.

1011122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 1011122129 is about 31798.1466283807. The cubic root of 1011122129 is about 1003.6937159970.

The spelling of 1011122129 in words is "one billion, eleven million, one hundred twenty-two thousand, one hundred twenty-nine".