1000110110100 has 144 divisors (see below), whose sum is σ = 2910430053888. Its totient is φ = 265152821760.

The previous prime is 1000110110089. The next prime is 1000110110107. The reversal of 1000110110100 is 10110110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110110107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53309922 + ... + 53328678.

Almost surely, 2^{1000110110100} is an apocalyptic number.

1000110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455215026944).

1000110110100 is an abundant number, since it is smaller than the sum of its proper divisors (1910319943788).

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

1000110110100 is a wasteful number, since it uses less digits than its factorization.

1000110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19794 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000110110100 its reverse (10110110001), we get a palindrome (1010220220101).

Subtracting from 1000110110100 its reverse (10110110001), we obtain a palindrome (990000000099).

The spelling of 1000110110100 in words is "one trillion, one hundred ten million, one hundred ten thousand, one hundred".