100131003222169 has 2 divisors, whose sum is σ = 100131003222170. Its totient is φ = 100131003222168.

The previous prime is 100131003222143. The next prime is 100131003222223. The reversal of 100131003222169 is 961222300131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99635931968400 + 495071253769 = 9981780^2 + 703613^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131003222169 - 2¹⁹ = 100131002697881 is a prime.

It is a super-2 number, since 2×100131003222169² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100131003222169.

It is not a weakly prime, because it can be changed into another prime (100131003252169) 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, 50065501611084 + 50065501611085.

It is an arithmetic number, because the mean of its divisors is an integer number (50065501611085).

Almost surely, 2^{100131003222169} is an apocalyptic number.

It is an amenable number.

100131003222169 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131003222169 is an equidigital number, since it uses as much as digits as its factorization.

100131003222169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 100131003222169 in words is "one hundred trillion, one hundred thirty-one billion, three million, two hundred twenty-two thousand, one hundred sixty-nine".