101111000000081 has 2 divisors, whose sum is σ = 101111000000082. Its totient is φ = 101111000000080.

The previous prime is 101111000000033. The next prime is 101111000000093. The reversal of 101111000000081 is 180000000111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91167951372481 + 9943048627600 = 9548191^2 + 3153260^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000000081 - 2²⁶ = 101110932891217 is a prime.

It is a super-2 number, since 2×101111000000081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101111000000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500000040 + 50555500000041.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500000041).

Almost surely, 2^{101111000000081} is an apocalyptic number.

It is an amenable number.

101111000000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000000081 is an equidigital number, since it uses as much as digits as its factorization.

101111000000081 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 14.

Adding to 101111000000081 its reverse (180000000111101), we get a palindrome (281111000111182).

The spelling of 101111000000081 in words is "one hundred one trillion, one hundred eleven billion, eighty-one", and thus it is an aban number.