1021112012009 has 2 divisors, whose sum is σ = 1021112012010. Its totient is φ = 1021112012008.

The previous prime is 1021112011937. The next prime is 1021112012017. The reversal of 1021112012009 is 9002102111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 637207852009 + 383904160000 = 798253^2 + 619600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1021112012009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021112012069) 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, 510556006004 + 510556006005.

It is an arithmetic number, because the mean of its divisors is an integer number (510556006005).

Almost surely, 2^{1021112012009} is an apocalyptic number.

It is an amenable number.

1021112012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021112012009 is an equidigital number, since it uses as much as digits as its factorization.

1021112012009 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 20.

The spelling of 1021112012009 in words is "one trillion, twenty-one billion, one hundred twelve million, twelve thousand, nine".