1002112009889 has 2 divisors, whose sum is σ = 1002112009890. Its totient is φ = 1002112009888.

The previous prime is 1002112009861. The next prime is 1002112009967. The reversal of 1002112009889 is 9889002112001.

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., 582230041600 + 419881968289 = 763040^2 + 647983^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002112009889 - 2²⁴ = 1002095232673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002112009849) 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, 501056004944 + 501056004945.

It is an arithmetic number, because the mean of its divisors is an integer number (501056004945).

Almost surely, 2^{1002112009889} is an apocalyptic number.

It is an amenable number.

1002112009889 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112009889 is an equidigital number, since it uses as much as digits as its factorization.

1002112009889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 41.

The spelling of 1002112009889 in words is "one trillion, two billion, one hundred twelve million, nine thousand, eight hundred eighty-nine".