100000000011181 has 2 divisors, whose sum is σ = 100000000011182. Its totient is φ = 100000000011180.

The previous prime is 100000000011179. The next prime is 100000000011203. The reversal of 100000000011181 is 181110000000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93905964679081 + 6094035332100 = 9690509^2 + 2468610^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000000011181 - 2¹ = 100000000011179 is a prime.

It is a super-2 number, since 2×100000000011181² (a number of 29 digits) contains 22 as substring.

Together with 100000000011179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000000081181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000000005590 + 50000000005591.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000005591).

Almost surely, 2^{100000000011181} is an apocalyptic number.

It is an amenable number.

100000000011181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000000011181 is an equidigital number, since it uses as much as digits as its factorization.

100000000011181 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 13.

Adding to 100000000011181 its reverse (181110000000001), we get a palindrome (281110000011182).

The spelling of 100000000011181 in words is "one hundred trillion, eleven thousand, one hundred eighty-one".