10001100000110 has 64 divisors (see below), whose sum is σ = 18191862342720. Its totient is φ = 3958436751360.

The previous prime is 10001100000109. The next prime is 10001100000121. The reversal of 10001100000110 is 1100000110001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001100000094 and 10001100000103.

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 31 ways as a sum of consecutive naturals, for example, 712880576 + ... + 712894604.

It is an arithmetic number, because the mean of its divisors is an integer number (284247849105).

Almost surely, 2^{10001100000110} is an apocalyptic number.

10001100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001100000110 is a deficient number, since it is larger than the sum of its proper divisors (8190762342610).

10001100000110 is a wasteful number, since it uses less digits than its factorization.

10001100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15701.

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

Adding to 10001100000110 its reverse (1100000110001), we get a palindrome (11101100110111).

The spelling of 10001100000110 in words is "ten trillion, one billion, one hundred million, one hundred ten", and thus it is an aban number.