11102120012167 has 2 divisors, whose sum is σ = 11102120012168. Its totient is φ = 11102120012166.

The previous prime is 11102120012161. The next prime is 11102120012213. The reversal of 11102120012167 is 76121002120111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11102120012167 - 2¹⁵ = 11102119979399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11102120012161) 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, 5551060006083 + 5551060006084.

It is an arithmetic number, because the mean of its divisors is an integer number (5551060006084).

Almost surely, 2^{11102120012167} is an apocalyptic number.

11102120012167 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102120012167 is an equidigital number, since it uses as much as digits as its factorization.

11102120012167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 11102120012167 its reverse (76121002120111), we get a palindrome (87223122132278).

The spelling of 11102120012167 in words is "eleven trillion, one hundred two billion, one hundred twenty million, twelve thousand, one hundred sixty-seven".