1101100101101 has 32 divisors (see below), whose sum is σ = 1479992774400. Its totient is φ = 791146874880.

The previous prime is 1101100101091. The next prime is 1101100101109. The reversal of 1101100101101 is 1011010011011.

It is a cyclic number.

It is not a de Polignac number, because 1101100101101 - 2¹⁴ = 1101100084717 is a prime.

1101100101101 is a modest number, since divided by 101101 gives 11011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100101109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337895 + ... + 1521963.

It is an arithmetic number, because the mean of its divisors is an integer number (46249774200).

Almost surely, 2^{1101100101101} is an apocalyptic number.

1101100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101100101101 is a deficient number, since it is larger than the sum of its proper divisors (378892673299).

1101100101101 is a wasteful number, since it uses less digits than its factorization.

1101100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185029.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101100101101 its reverse (1011010011011), we get a palindrome (2112110112112).

The spelling of 1101100101101 in words is "one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred one".