1101101100101 has 16 divisors (see below), whose sum is σ = 1171942800000. Its totient is φ = 1031565570048.

The previous prime is 1101101100083. The next prime is 1101101100119. The reversal of 1101101100101 is 1010011011011.

It is an interprime number because it is at equal distance from previous prime (1101101100083) and next prime (1101101100119).

It is a cyclic number.

It is not a de Polignac number, because 1101101100101 - 2¹⁴ = 1101101083717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101150101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062736 + ... + 2541078.

It is an arithmetic number, because the mean of its divisors is an integer number (73246425000).

Almost surely, 2^{1101101100101} is an apocalyptic number.

It is an amenable number.

1101101100101 is a deficient number, since it is larger than the sum of its proper divisors (70841699899).

1101101100101 is a wasteful number, since it uses less digits than its factorization.

1101101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479708.

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

Adding to 1101101100101 its reverse (1010011011011), we get a palindrome (2111112111112).

The spelling of 1101101100101 in words is "one trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred one".