1001100110081 has 2 divisors, whose sum is σ = 1001100110082. Its totient is φ = 1001100110080.

The previous prime is 1001100110069. The next prime is 1001100110113. The reversal of 1001100110081 is 1800110011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 981476583025 + 19623527056 = 990695^2 + 140084^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100110081 - 2³⁸ = 726222203137 is a prime.

It is a super-2 number, since 2×1001100110081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001100110581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550055040 + 500550055041.

It is an arithmetic number, because the mean of its divisors is an integer number (500550055041).

Almost surely, 2^{1001100110081} is an apocalyptic number.

It is an amenable number.

1001100110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100110081 is an equidigital number, since it uses as much as digits as its factorization.

1001100110081 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 14.

Adding to 1001100110081 its reverse (1800110011001), we get a palindrome (2801210121082).

The spelling of 1001100110081 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, eighty-one".