100011111181 has 2 divisors, whose sum is σ = 100011111182. Its totient is φ = 100011111180.

The previous prime is 100011111169. The next prime is 100011111217. The reversal of 100011111181 is 181111110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77001255081 + 23009856100 = 277491^2 + 151690^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011111181 - 2⁵ = 100011111149 is a prime.

It is a super-2 number, since 2×100011111181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011111131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555590 + 50005555591.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555591).

Almost surely, 2^100011111181 is an apocalyptic number.

It is an amenable number.

100011111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011111181 is an equidigital number, since it uses as much as digits as its factorization.

100011111181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 100011111181 its reverse (181111110001), we get a palindrome (281122221182).

The spelling of 100011111181 in words is "one hundred billion, eleven million, one hundred eleven thousand, one hundred eighty-one".