1101001101111 has 12 divisors (see below), whose sum is σ = 1590358145688. Its totient is φ = 733990016304.

The previous prime is 1101001101107. The next prime is 1101001101131. The reversal of 1101001101111 is 1111011001011.

It is not a de Polignac number, because 1101001101111 - 2² = 1101001101107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101001101093 and 1101001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001101131) 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 11 ways as a sum of consecutive naturals, for example, 215485 + ... + 1499478.

It is an arithmetic number, because the mean of its divisors is an integer number (132529845474).

Almost surely, 2^{1101001101111} is an apocalyptic number.

1101001101111 is a deficient number, since it is larger than the sum of its proper divisors (489357044577).

1101001101111 is a wasteful number, since it uses less digits than its factorization.

1101001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786302 (or 1786299 counting only the distinct ones).

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

Adding to 1101001101111 its reverse (1111011001011), we get a palindrome (2212012102122).

The spelling of 1101001101111 in words is "one trillion, one hundred one billion, one million, one hundred one thousand, one hundred eleven".