1003112040109 has 2 divisors, whose sum is σ = 1003112040110. Its totient is φ = 1003112040108.

The previous prime is 1003112040083. The next prime is 1003112040131. The reversal of 1003112040109 is 9010402113001.

It is an a-pointer prime, because the next prime (1003112040131) can be obtained adding 1003112040109 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 838592568009 + 164519472100 = 915747^2 + 405610^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112040109 - 2¹⁵ = 1003112007341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1003112040109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003112040169) 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, 501556020054 + 501556020055.

It is an arithmetic number, because the mean of its divisors is an integer number (501556020055).

Almost surely, 2^{1003112040109} is an apocalyptic number.

It is an amenable number.

1003112040109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112040109 is an equidigital number, since it uses as much as digits as its factorization.

1003112040109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 1003112040109 in words is "one trillion, three billion, one hundred twelve million, forty thousand, one hundred nine".