10011111011081 has 2 divisors, whose sum is σ = 10011111011082. Its totient is φ = 10011111011080.

The previous prime is 10011111011009. The next prime is 10011111011117. The reversal of 10011111011081 is 18011011111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9835123210000 + 175987801081 = 3136100^2 + 419509^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011111011081 is a prime.

It is a super-3 number, since 3×10011111011081³ (a number of 40 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 (10011111011281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555505540 + 5005555505541.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555505541).

Almost surely, 2^{10011111011081} is an apocalyptic number.

It is an amenable number.

10011111011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111011081 is an equidigital number, since it uses as much as digits as its factorization.

10011111011081 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 10011111011081 its reverse (18011011111001), we get a palindrome (28022122122082).

The spelling of 10011111011081 in words is "ten trillion, eleven billion, one hundred eleven million, eleven thousand, eighty-one".