111101011000081 has 2 divisors, whose sum is σ = 111101011000082. Its totient is φ = 111101011000080.

The previous prime is 111101011000061. The next prime is 111101011000123. The reversal of 111101011000081 is 180000110101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110984855454225 + 116155545856 = 10534935^2 + 340816^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101011000081 - 2⁹ = 111101010999569 is a prime.

It is a super-2 number, since 2×111101011000081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111101011000061) 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, 55550505500040 + 55550505500041.

It is an arithmetic number, because the mean of its divisors is an integer number (55550505500041).

Almost surely, 2^{111101011000081} is an apocalyptic number.

It is an amenable number.

111101011000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101011000081 is an equidigital number, since it uses as much as digits as its factorization.

111101011000081 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 111101011000081 its reverse (180000110101111), we get a palindrome (291101121101192).

The spelling of 111101011000081 in words is "one hundred eleven trillion, one hundred one billion, eleven million, eighty-one", and thus it is an aban number.