1100110001011 has 16 divisors (see below), whose sum is σ = 1323529920000. Its totient is φ = 893262117888.

The previous prime is 1100110000999. The next prime is 1100110001063. The reversal of 1100110001011 is 1101000110011.

It is a happy number.

It is not a de Polignac number, because 1100110001011 - 2²³ = 1100101612403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100110000985 and 1100110001003.

It is not an unprimeable number, because it can be changed into a prime (1100110001611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754490 + ... + 2297488.

It is an arithmetic number, because the mean of its divisors is an integer number (82720620000).

Almost surely, 2^{1100110001011} is an apocalyptic number.

1100110001011 is a deficient number, since it is larger than the sum of its proper divisors (223419918989).

1100110001011 is a wasteful number, since it uses less digits than its factorization.

1100110001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558258.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100110001011 its reverse (1101000110011), we get a palindrome (2201110111022).

The spelling of 1100110001011 in words is "one trillion, one hundred billion, one hundred ten million, one thousand, eleven".