1002110120009 has 2 divisors, whose sum is σ = 1002110120010. Its totient is φ = 1002110120008.

The previous prime is 1002110119987. The next prime is 1002110120017. The reversal of 1002110120009 is 9000210112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901354663609 + 100755456400 = 949397^2 + 317420^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002110120009 - 2¹² = 1002110115913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1002110120069) 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, 501055060004 + 501055060005.

It is an arithmetic number, because the mean of its divisors is an integer number (501055060005).

Almost surely, 2^{1002110120009} is an apocalyptic number.

It is an amenable number.

1002110120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002110120009 is an equidigital number, since it uses as much as digits as its factorization.

1002110120009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

It can be divided in two parts, 1002 and 110120009, that added together give a palindrome (110121011).

The spelling of 1002110120009 in words is "one trillion, two billion, one hundred ten million, one hundred twenty thousand, nine".