100011010111081 has 2 divisors, whose sum is σ = 100011010111082. Its totient is φ = 100011010111080.

The previous prime is 100011010111013. The next prime is 100011010111121. The reversal of 100011010111081 is 180111010110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92325501435456 + 7685508675625 = 9608616^2 + 2772275^2 .

It is an emirp because it is prime and its reverse (180111010110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100011010111081 - 2²⁵ = 100010976556649 is a prime.

It is a super-3 number, since 3×100011010111081³ (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 (100011010211081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505055540 + 50005505055541.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505055541).

Almost surely, 2^{100011010111081} is an apocalyptic number.

It is an amenable number.

100011010111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011010111081 is an equidigital number, since it uses as much as digits as its factorization.

100011010111081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 100011010111081 its reverse (180111010110001), we get a palindrome (280122020221082).

The spelling of 100011010111081 in words is "one hundred trillion, eleven billion, ten million, one hundred eleven thousand, eighty-one".