1111010000000 has 256 divisors, whose sum is σ = 2784174513120. Its totient is φ = 441600000000.

The previous prime is 1111009999963. The next prime is 1111010000057. The reversal of 1111010000000 is 101111.

It can be written as a sum of positive squares in 16 ways, for example, as 1106518855744 + 4491144256 = 1051912^2 + 67016^2 .

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

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, 2409999770 + ... + 2410000230.

Almost surely, 2^{1111010000000} is an apocalyptic number.

1111010000000 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 1111010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392087256560).

1111010000000 is an abundant number, since it is smaller than the sum of its proper divisors (1673164513120).

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

1111010000000 is an frugal number, since it uses more digits than its factorization.

1111010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 709 counting only the distinct ones).

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

Adding to 1111010000000 its reverse (101111), we get a palindrome (1111010101111).

The spelling of 1111010000000 in words is "one trillion, one hundred eleven billion, ten million", and thus it is an aban number.