1000121122009 has 2 divisors, whose sum is σ = 1000121122010. Its totient is φ = 1000121122008.

The previous prime is 1000121121983. The next prime is 1000121122019. The reversal of 1000121122009 is 9002211210001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998920291600 + 1200830409 = 999460^2 + 34653^2 .

It is an emirp because it is prime and its reverse (9002211210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000121122009 - 2¹⁷ = 1000120990937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000121122019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500060561004 + 500060561005.

It is an arithmetic number, because the mean of its divisors is an integer number (500060561005).

Almost surely, 2^{1000121122009} is an apocalyptic number.

It is an amenable number.

1000121122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000121122009 is an equidigital number, since it uses as much as digits as its factorization.

1000121122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 1000121122009 in words is "one trillion, one hundred twenty-one million, one hundred twenty-two thousand, nine".