100000111111081 has 2 divisors, whose sum is σ = 100000111111082. Its totient is φ = 100000111111080.

The previous prime is 100000111111037. The next prime is 100000111111183. The reversal of 100000111111081 is 180111111000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90069419421081 + 9930691690000 = 9490491^2 + 3151300^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000111111081 - 2²⁷ = 99999976893353 is a prime.

It is a super-3 number, since 3×100000111111081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100000111511081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000055555540 + 50000055555541.

It is an arithmetic number, because the mean of its divisors is an integer number (50000055555541).

Almost surely, 2^{100000111111081} is an apocalyptic number.

It is an amenable number.

100000111111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000111111081 is an equidigital number, since it uses as much as digits as its factorization.

100000111111081 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 100000111111081 its reverse (180111111000001), we get a palindrome (280111222111082).

The spelling of 100000111111081 in words is "one hundred trillion, one hundred eleven million, one hundred eleven thousand, eighty-one".