10000001100110 has 32 divisors (see below), whose sum is σ = 21781515003840. Its totient is φ = 3226891110912.

The previous prime is 10000001100109. The next prime is 10000001100113. The reversal of 10000001100110 is 1100110000001.

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

10000001100110 is a modest number, since divided by 1100110 gives 100000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000001100094 and 10000001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001100113) 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 15 ways as a sum of consecutive naturals, for example, 4201679945 + ... + 4201682324.

It is an arithmetic number, because the mean of its divisors is an integer number (680672343870).

Almost surely, 2^{10000001100110} is an apocalyptic number.

10000001100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000001100110 is an abundant number, since it is smaller than the sum of its proper divisors (11781513903730).

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

10000001100110 is a wasteful number, since it uses less digits than its factorization.

10000001100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403362300.

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

Adding to 10000001100110 its reverse (1100110000001), we get a palindrome (11100111100111).

The spelling of 10000001100110 in words is "ten trillion, one million, one hundred thousand, one hundred ten".