1101100100110 has 16 divisors (see below), whose sum is σ = 1982137247136. Its totient is φ = 440405136288.

The previous prime is 1101100100083. The next prime is 1101100100143. The reversal of 1101100100110 is 110010011011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1101100100093 and 1101100100102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4230282 + ... + 4483021.

It is an arithmetic number, because the mean of its divisors is an integer number (123883577946).

Almost surely, 2^{1101100100110} is an apocalyptic number.

1101100100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101100100110 is a deficient number, since it is larger than the sum of its proper divisors (881037147026).

1101100100110 is a wasteful number, since it uses less digits than its factorization.

1101100100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725947.

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

Adding to 1101100100110 its reverse (110010011011), we get a palindrome (1211110111121).

The spelling of 1101100100110 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred ten".