1001100000110 has 32 divisors (see below), whose sum is σ = 2167795491840. Its totient is φ = 325169322912.

The previous prime is 1001100000077. The next prime is 1001100000113. The reversal of 1001100000110 is 110000011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100000094 and 1001100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376352054 + ... + 376354713.

It is an arithmetic number, because the mean of its divisors is an integer number (67743609120).

Almost surely, 2^{1001100000110} is an apocalyptic number.

1001100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001100000110 is an abundant number, since it is smaller than the sum of its proper divisors (1166695491730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001100000110 is a wasteful number, since it uses less digits than its factorization.

1001100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752706800.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001100000110 its reverse (110000011001), we get a palindrome (1111100011111).

The spelling of 1001100000110 in words is "one trillion, one billion, one hundred million, one hundred ten", and thus it is an aban number.