100131112232209 has 2 divisors, whose sum is σ = 100131112232210. Its totient is φ = 100131112232208.

The previous prime is 100131112232171. The next prime is 100131112232213. The reversal of 100131112232209 is 902232211131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63969651598609 + 36161460633600 = 7998103^2 + 6013440^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131112232209 - 2²³ = 100131103843601 is a prime.

It is not a weakly prime, because it can be changed into another prime (100131112233209) 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, 50065556116104 + 50065556116105.

It is an arithmetic number, because the mean of its divisors is an integer number (50065556116105).

Almost surely, 2^{100131112232209} is an apocalyptic number.

It is an amenable number.

100131112232209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131112232209 is an equidigital number, since it uses as much as digits as its factorization.

100131112232209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 100131112232209 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twelve million, two hundred thirty-two thousand, two hundred nine".