1101101011101 has 48 divisors (see below), whose sum is σ = 1969522429056. Its totient is φ = 577237269888.

The previous prime is 1101101011099. The next prime is 1101101011123. The reversal of 1101101011101 is 1011101011011.

It is not a de Polignac number, because 1101101011101 - 2¹ = 1101101011099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101011141) 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 47 ways as a sum of consecutive naturals, for example, 3990570 + ... + 4257563.

It is an arithmetic number, because the mean of its divisors is an integer number (41031717272).

Almost surely, 2^{1101101011101} is an apocalyptic number.

It is an amenable number.

1101101011101 is a deficient number, since it is larger than the sum of its proper divisors (868421417955).

1101101011101 is a wasteful number, since it uses less digits than its factorization.

1101101011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248322 (or 8248319 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1101101011101 its reverse (1011101011011), we get a palindrome (2112202022112).

It can be divided in two parts, 110110 and 1011101, that added together give a palindrome (1121211).

The spelling of 1101101011101 in words is "one trillion, one hundred one billion, one hundred one million, eleven thousand, one hundred one".