1101100100001 has 32 divisors (see below), whose sum is σ = 1607737697280. Its totient is φ = 664778731200.

The previous prime is 1101100099997. The next prime is 1101100100047. The reversal of 1101100100001 is 1000010011011.

It is not a de Polignac number, because 1101100100001 - 2² = 1101100099997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101100102001) 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 in 31 ways as a sum of consecutive naturals, for example, 17096806 + ... + 17161088.

It is an arithmetic number, because the mean of its divisors is an integer number (50241803040).

Almost surely, 2^{1101100100001} is an apocalyptic number.

1101100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101100100001 is a deficient number, since it is larger than the sum of its proper divisors (506637597279).

1101100100001 is a wasteful number, since it uses less digits than its factorization.

1101100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66277.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101100100001 its reverse (1000010011011), we get a palindrome (2101110111012).

The spelling of 1101100100001 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, one".