10000111081 has 2 divisors, whose sum is σ = 10000111082. Its totient is φ = 10000111080.

The previous prime is 10000111057. The next prime is 10000111123. The reversal of 10000111081 is 18011100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7808373225 + 2191737856 = 88365^2 + 46816^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111081 - 2⁵ = 10000111049 is a prime.

It is a super-3 number, since 3×10000111081³ (a number of 31 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 (10000111031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055540 + 5000055541.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055541).

Almost surely, 2^10000111081 is an apocalyptic number.

It is an amenable number.

10000111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111081 is an equidigital number, since it uses as much as digits as its factorization.

10000111081 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 13.

Adding to 10000111081 its reverse (18011100001), we get a palindrome (28011211082).

The spelling of 10000111081 in words is "ten billion, one hundred eleven thousand, eighty-one".