101110111111081 has 2 divisors, whose sum is σ = 101110111111082. Its totient is φ = 101110111111080.

The previous prime is 101110111111069. The next prime is 101110111111193. The reversal of 101110111111081 is 180111111011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91794430445481 + 9315680665600 = 9580941^2 + 3052160^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110111111081 - 2¹⁷ = 101110110980009 is a prime.

It is a super-3 number, since 3×101110111111081³ (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 (101110111111021) 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, 50555055555540 + 50555055555541.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055555541).

Almost surely, 2^{101110111111081} is an apocalyptic number.

It is an amenable number.

101110111111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110111111081 is an equidigital number, since it uses as much as digits as its factorization.

101110111111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 19.

Adding to 101110111111081 its reverse (180111111011101), we get a palindrome (281221222122182).

The spelling of 101110111111081 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, eighty-one".