1100100001081 has 2 divisors, whose sum is σ = 1100100001082. Its totient is φ = 1100100001080.

The previous prime is 1100100001069. The next prime is 1100100001087. The reversal of 1100100001081 is 1801000010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1100075834025 + 24167056 = 1048845^2 + 4916^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100100001081 - 2⁹ = 1100100000569 is a prime.

It is a super-2 number, since 2×1100100001081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1100100001087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050000540 + 550050000541.

It is an arithmetic number, because the mean of its divisors is an integer number (550050000541).

Almost surely, 2^{1100100001081} is an apocalyptic number.

It is an amenable number.

1100100001081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100001081 is an equidigital number, since it uses as much as digits as its factorization.

1100100001081 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 1100100001081 its reverse (1801000010011), we get a palindrome (2901100011092).

The spelling of 1100100001081 in words is "one trillion, one hundred billion, one hundred million, one thousand, eighty-one".