1020002112209 has 2 divisors, whose sum is σ = 1020002112210. Its totient is φ = 1020002112208.

The previous prime is 1020002112191. The next prime is 1020002112251. The reversal of 1020002112209 is 9022112000201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 780665903809 + 239336208400 = 883553^2 + 489220^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020002112209 - 2¹⁶ = 1020002046673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020002117209) 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, 510001056104 + 510001056105.

It is an arithmetic number, because the mean of its divisors is an integer number (510001056105).

Almost surely, 2^{1020002112209} is an apocalyptic number.

It is an amenable number.

1020002112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020002112209 is an equidigital number, since it uses as much as digits as its factorization.

1020002112209 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 20.

The spelling of 1020002112209 in words is "one trillion, twenty billion, two million, one hundred twelve thousand, two hundred nine".