1100100101101 has 8 divisors (see below), whose sum is σ = 1164906205560. Its totient is φ = 1035304478208.

The previous prime is 1100100101081. The next prime is 1100100101123. The reversal of 1100100101101 is 1011010010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2948598601 + 1097151502500 = 54301^2 + 1047450^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1100100101101 - 2⁵ = 1100100101069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100101131) 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 7 ways as a sum of consecutive naturals, for example, 2403786 + ... + 2824603.

It is an arithmetic number, because the mean of its divisors is an integer number (145613275695).

Almost surely, 2^{1100100101101} is an apocalyptic number.

It is an amenable number.

1100100101101 is a deficient number, since it is larger than the sum of its proper divisors (64806104459).

1100100101101 is a wasteful number, since it uses less digits than its factorization.

1100100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240783.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100100101101 its reverse (1011010010011), we get a palindrome (2111110111112).

The spelling of 1100100101101 in words is "one trillion, one hundred billion, one hundred million, one hundred one thousand, one hundred one".