1020020201029 has 2 divisors, whose sum is σ = 1020020201030. Its totient is φ = 1020020201028.

The previous prime is 1020020201009. The next prime is 1020020201071. The reversal of 1020020201029 is 9201020200201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1018514916225 + 1505284804 = 1009215^2 + 38798^2 .

It is an emirp because it is prime and its reverse (9201020200201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020020201029 - 2¹³ = 1020020192837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020020200997 and 1020020201015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020020201009) 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, 510010100514 + 510010100515.

It is an arithmetic number, because the mean of its divisors is an integer number (510010100515).

Almost surely, 2^{1020020201029} is an apocalyptic number.

It is an amenable number.

1020020201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020020201029 is an equidigital number, since it uses as much as digits as its factorization.

1020020201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 1020020201029 in words is "one trillion, twenty billion, twenty million, two hundred one thousand, twenty-nine".