100013222181161 has 2 divisors, whose sum is σ = 100013222181162. Its totient is φ = 100013222181160.

The previous prime is 100013222181157. The next prime is 100013222181181. The reversal of 100013222181161 is 161181222310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100009200211600 + 4021969561 = 10000460^2 + 63419^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013222181161 - 2² = 100013222181157 is a prime.

It is a super-2 number, since 2×100013222181161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100013222181181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006611090580 + 50006611090581.

It is an arithmetic number, because the mean of its divisors is an integer number (50006611090581).

Almost surely, 2^{100013222181161} is an apocalyptic number.

It is an amenable number.

100013222181161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013222181161 is an equidigital number, since it uses as much as digits as its factorization.

100013222181161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

Adding to 100013222181161 its reverse (161181222310001), we get a palindrome (261194444491162).

The spelling of 100013222181161 in words is "one hundred trillion, thirteen billion, two hundred twenty-two million, one hundred eighty-one thousand, one hundred sixty-one".