1020002122129 has 2 divisors, whose sum is σ = 1020002122130. Its totient is φ = 1020002122128.

The previous prime is 1020002122103. The next prime is 1020002122141. The reversal of 1020002122129 is 9212212000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1014018790225 + 5983331904 = 1006985^2 + 77352^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020002122129 - 2¹⁹ = 1020001597841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020002122169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510001061064 + 510001061065.

It is an arithmetic number, because the mean of its divisors is an integer number (510001061065).

Almost surely, 2^{1020002122129} is an apocalyptic number.

It is an amenable number.

1020002122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020002122129 is an equidigital number, since it uses as much as digits as its factorization.

1020002122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 1020002122129 in words is "one trillion, twenty billion, two million, one hundred twenty-two thousand, one hundred twenty-nine".