1100101101111 has 24 divisors (see below), whose sum is σ = 1658346618240. Its totient is φ = 701419306896.

The previous prime is 1100101101103. The next prime is 1100101101137. The reversal of 1100101101111 is 1111011010011.

It is not a de Polignac number, because 1100101101111 - 2³ = 1100101101103 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 = 1100101101093 and 1100101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101101161) 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, 1199980 + ... + 1907918.

It is an arithmetic number, because the mean of its divisors is an integer number (69097775760).

Almost surely, 2^{1100101101111} is an apocalyptic number.

1100101101111 is a deficient number, since it is larger than the sum of its proper divisors (558245517129).

1100101101111 is a wasteful number, since it uses less digits than its factorization.

1100101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715475 (or 715472 counting only the distinct ones).

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

Adding to 1100101101111 its reverse (1111011010011), we get a palindrome (2211112111122).

It can be divided in two parts, 110010 and 1101111, that added together give a palindrome (1211121).

The spelling of 1100101101111 in words is "one trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred eleven".