1101100010081 has 2 divisors, whose sum is σ = 1101100010082. Its totient is φ = 1101100010080.

The previous prime is 1101100010051. The next prime is 1101100010111. The reversal of 1101100010081 is 1800100011011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1101100010051) and next prime (1101100010111).

It can be written as a sum of positive squares in only one way, i.e., 1078243408225 + 22856601856 = 1038385^2 + 151184^2 .

It is an emirp because it is prime and its reverse (1800100011011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101100010081 - 2²² = 1101095815777 is a prime.

It is a super-2 number, since 2×1101100010081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1101100010051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550005040 + 550550005041.

It is an arithmetic number, because the mean of its divisors is an integer number (550550005041).

Almost surely, 2^{1101100010081} is an apocalyptic number.

It is an amenable number.

1101100010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101100010081 is an equidigital number, since it uses as much as digits as its factorization.

1101100010081 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 14.

Adding to 1101100010081 its reverse (1800100011011), we get a palindrome (2901200021092).

The spelling of 1101100010081 in words is "one trillion, one hundred one billion, one hundred million, ten thousand, eighty-one".