100011101111081 has 2 divisors, whose sum is σ = 100011101111082. Its totient is φ = 100011101111080.

The previous prime is 100011101111063. The next prime is 100011101111167. The reversal of 100011101111081 is 180111101110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95382256435456 + 4628844675625 = 9766384^2 + 2151475^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011101111081 - 2⁶ = 100011101111017 is a prime.

It is a super-3 number, since 3×100011101111081³ (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 (100011101111021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550555540 + 50005550555541.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550555541).

Almost surely, 2^{100011101111081} is an apocalyptic number.

It is an amenable number.

100011101111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011101111081 is an equidigital number, since it uses as much as digits as its factorization.

100011101111081 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 100011101111081 its reverse (180111101110001), we get a palindrome (280122202221082).

The spelling of 100011101111081 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred eleven thousand, eighty-one".