1005210121429 has 2 divisors, whose sum is σ = 1005210121430. Its totient is φ = 1005210121428.

The previous prime is 1005210121373. The next prime is 1005210121469. The reversal of 1005210121429 is 9241210125001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 574106259204 + 431103862225 = 757698^2 + 656585^2 .

It is an emirp because it is prime and its reverse (9241210125001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005210121429 - 2²⁷ = 1005075903701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005210121397 and 1005210121406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005210121469) 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, 502605060714 + 502605060715.

It is an arithmetic number, because the mean of its divisors is an integer number (502605060715).

Almost surely, 2^{1005210121429} is an apocalyptic number.

It is an amenable number.

1005210121429 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005210121429 is an equidigital number, since it uses as much as digits as its factorization.

1005210121429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 1005210121429 in words is "one trillion, five billion, two hundred ten million, one hundred twenty-one thousand, four hundred twenty-nine".