111100110101081 has 2 divisors, whose sum is σ = 111100110101082. Its totient is φ = 111100110101080.

The previous prime is 111100110100927. The next prime is 111100110101107. The reversal of 111100110101081 is 180101011001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61629706510681 + 49470403590400 = 7850459^2 + 7033520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111100110101081 is a prime.

It is a super-3 number, since 3×111100110101081³ (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 (111100110101381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550055050540 + 55550055050541.

It is an arithmetic number, because the mean of its divisors is an integer number (55550055050541).

Almost surely, 2^{111100110101081} is an apocalyptic number.

It is an amenable number.

111100110101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100110101081 is an equidigital number, since it uses as much as digits as its factorization.

111100110101081 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 17.

Adding to 111100110101081 its reverse (180101011001111), we get a palindrome (291201121102192).

The spelling of 111100110101081 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred one thousand, eighty-one".