11101000000 has 196 divisors, whose sum is σ = 29199704364. Its totient is φ = 4172800000.

The previous prime is 11100999913. The next prime is 11101000019. The reversal of 11101000000 is 10111.

It can be written as a sum of positive squares in 14 ways, for example, as 9263677504 + 1837322496 = 96248^2 + 42864^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16999674 + ... + 17000326.

Almost surely, 2^11101000000 is an apocalyptic number.

11101000000 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 11101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599852182).

11101000000 is an abundant number, since it is smaller than the sum of its proper divisors (18098704364).

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

11101000000 is an frugal number, since it uses more digits than its factorization.

11101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11101000000 its reverse (10111), we get a palindrome (11101010111).

The spelling of 11101000000 in words is "eleven billion, one hundred one million", and thus it is an aban number.