101111110081 has 2 divisors, whose sum is σ = 101111110082. Its totient is φ = 101111110080.

The previous prime is 101111110073. The next prime is 101111110097. The reversal of 101111110081 is 180011111101.

It is an a-pointer prime, because the next prime (101111110097) can be obtained adding 101111110081 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100415469456 + 695640625 = 316884^2 + 26375^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111110081 - 2³ = 101111110073 is a prime.

It is a super-2 number, since 2×101111110081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101111110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555040 + 50555555041.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555041).

Almost surely, 2^101111110081 is an apocalyptic number.

It is an amenable number.

101111110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110081 is an equidigital number, since it uses as much as digits as its factorization.

101111110081 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 16.

Adding to 101111110081 its reverse (180011111101), we get a palindrome (281122221182).

The spelling of 101111110081 in words is "one hundred one billion, one hundred eleven million, one hundred ten thousand, eighty-one".