1100111011101 has 48 divisors (see below), whose sum is σ = 1702069544448. Its totient is φ = 709328275200.

The previous prime is 1100111011091. The next prime is 1100111011169. The reversal of 1100111011101 is 1011101110011.

It is not a de Polignac number, because 1100111011101 - 2²² = 1100106816797 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 (1100111011171) 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 47 ways as a sum of consecutive naturals, for example, 12921865 + ... + 13006721.

It is an arithmetic number, because the mean of its divisors is an integer number (35459782176).

Almost surely, 2^{1100111011101} is an apocalyptic number.

It is an amenable number.

1100111011101 is a deficient number, since it is larger than the sum of its proper divisors (601958533347).

1100111011101 is an equidigital number, since it uses as much as digits as its factorization.

1100111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86624 (or 86612 counting only the distinct ones).

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

Adding to 1100111011101 its reverse (1011101110011), we get a palindrome (2111212121112).

It can be divided in two parts, 110011 and 1011101, that multiplied together give a palindrome (111232232111).

The spelling of 1100111011101 in words is "one trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred one".