103122211311181 has 2 divisors, whose sum is σ = 103122211311182. Its totient is φ = 103122211311180.

The previous prime is 103122211311157. The next prime is 103122211311209. The reversal of 103122211311181 is 181113112221301.

It is an a-pointer prime, because the next prime (103122211311209) can be obtained adding 103122211311181 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53067873952900 + 50054337358281 = 7284770^2 + 7074909^2 .

It is a cyclic number.

It is not a de Polignac number, because 103122211311181 - 2²³ = 103122202922573 is a prime.

It is a super-2 number, since 2×103122211311181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103122211371181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51561105655590 + 51561105655591.

It is an arithmetic number, because the mean of its divisors is an integer number (51561105655591).

Almost surely, 2^{103122211311181} is an apocalyptic number.

It is an amenable number.

103122211311181 is a deficient number, since it is larger than the sum of its proper divisors (1).

103122211311181 is an equidigital number, since it uses as much as digits as its factorization.

103122211311181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

Adding to 103122211311181 its reverse (181113112221301), we get a palindrome (284235323532482).

The spelling of 103122211311181 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred eleven million, three hundred eleven thousand, one hundred eighty-one".