1101100111101 has 24 divisors (see below), whose sum is σ = 1596298538016. Its totient is φ = 731381545440.

The previous prime is 1101100111043. The next prime is 1101100111103. The reversal of 1101100111101 is 1011110011011.

It is not a de Polignac number, because 1101100111101 - 2¹³ = 1101100102909 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 (1101100111103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11139586 + ... + 11237996.

It is an arithmetic number, because the mean of its divisors is an integer number (66512439084).

Almost surely, 2^{1101100111101} is an apocalyptic number.

It is an amenable number.

1101100111101 is a deficient number, since it is larger than the sum of its proper divisors (495198426915).

1101100111101 is a wasteful number, since it uses less digits than its factorization.

1101100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102953 (or 102950 counting only the distinct ones).

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

Adding to 1101100111101 its reverse (1011110011011), we get a palindrome (2112210122112).

It can be divided in two parts, 1101100 and 111101, that added together give a square (1212201 = 1101²).

The spelling of 1101100111101 in words is "one trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred one".