1000223242129 has 2 divisors, whose sum is σ = 1000223242130. Its totient is φ = 1000223242128.

The previous prime is 1000223242111. The next prime is 1000223242141. The reversal of 1000223242129 is 9212423220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 980846602129 + 19376640000 = 990377^2 + 139200^2 .

It is an emirp because it is prime and its reverse (9212423220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000223242129 - 2²¹ = 1000221144977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000223242097 and 1000223242106.

It is not a weakly prime, because it can be changed into another prime (1000223242159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500111621064 + 500111621065.

It is an arithmetic number, because the mean of its divisors is an integer number (500111621065).

Almost surely, 2^{1000223242129} is an apocalyptic number.

It is an amenable number.

1000223242129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000223242129 is an equidigital number, since it uses as much as digits as its factorization.

1000223242129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 1000223242129 in words is "one trillion, two hundred twenty-three million, two hundred forty-two thousand, one hundred twenty-nine".