1111001101101 has 6 divisors (see below), whose sum is σ = 1604779368270. Its totient is φ = 740667400728.

The previous prime is 1111001101079. The next prime is 1111001101141. The reversal of 1111001101101 is 1011011001111.

It can be written as a sum of positive squares in only one way, i.e., 1008469859076 + 102531242025 = 1004226^2 + 320205^2 .

It is not a de Polignac number, because 1111001101101 - 2⁶ = 1111001101037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 123444566789 = 1111001101101 / (1 + 1 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111001101141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61722283386 + ... + 61722283403.

It is an arithmetic number, because the mean of its divisors is an integer number (267463228045).

Almost surely, 2^{1111001101101} is an apocalyptic number.

It is an amenable number.

1111001101101 is a deficient number, since it is larger than the sum of its proper divisors (493778267169).

1111001101101 is a wasteful number, since it uses less digits than its factorization.

1111001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123444566795 (or 123444566792 counting only the distinct ones).

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

Adding to 1111001101101 its reverse (1011011001111), we get a palindrome (2122012102212).

It can be divided in two parts, 111100 and 1101101, that added together give a square (1212201 = 1101²).

The spelling of 1111001101101 in words is "one trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred one".