1000110000000 has 1024 divisors, whose sum is σ = 3679162456320. Its totient is φ = 239616000000.

The previous prime is 1000109999921. The next prime is 1000110000013. The reversal of 1000110000000 is 110001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000110000000.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 18869999974 + ... + 18870000026.

Almost surely, 2^{1000110000000} is an apocalyptic number.

1000110000000 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 1000110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839581228160).

1000110000000 is an abundant number, since it is smaller than the sum of its proper divisors (2679052456320).

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

1000110000000 is an frugal number, since it uses more digits than its factorization.

1000110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1000110000000 its reverse (110001), we get a palindrome (1000110110001).

The spelling of 1000110000000 in words is "one trillion, one hundred ten million", and thus it is an aban number.