100031123001109 has 2 divisors, whose sum is σ = 100031123001110. Its totient is φ = 100031123001108.

The previous prime is 100031123000959. The next prime is 100031123001149. The reversal of 100031123001109 is 901100321130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51574947664900 + 48456175336209 = 7181570^2 + 6961047^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031123001109 - 2¹⁹ = 100031122476821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100031123001109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100031123001149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015561500554 + 50015561500555.

It is an arithmetic number, because the mean of its divisors is an integer number (50015561500555).

Almost surely, 2^{100031123001109} is an apocalyptic number.

It is an amenable number.

100031123001109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031123001109 is an equidigital number, since it uses as much as digits as its factorization.

100031123001109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 100031123001109 in words is "one hundred trillion, thirty-one billion, one hundred twenty-three million, one thousand, one hundred nine".