1000100011081 has 2 divisors, whose sum is σ = 1000100011082. Its totient is φ = 1000100011080.

The previous prime is 1000100010997. The next prime is 1000100011103. The reversal of 1000100011081 is 1801100010001.

1000100011081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 611398886400 + 388701124681 = 781920^2 + 623459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000100011081 is a prime.

It is a super-3 number, since 3×1000100011081³ (a number of 37 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 (1000100051081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050005540 + 500050005541.

It is an arithmetic number, because the mean of its divisors is an integer number (500050005541).

Almost surely, 2^{1000100011081} is an apocalyptic number.

It is an amenable number.

1000100011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100011081 is an equidigital number, since it uses as much as digits as its factorization.

1000100011081 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 1000100011081 its reverse (1801100010001), we get a palindrome (2801200021082).

The spelling of 1000100011081 in words is "one trillion, one hundred million, eleven thousand, eighty-one".