11101010000 has 100 divisors (see below), whose sum is σ = 26938417572. Its totient is φ = 4430208000.

The previous prime is 11101009991. The next prime is 11101010009. The reversal of 11101010000 is 1010111.

11101010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11101009991) and next prime (11101010009).

It can be written as a sum of positive squares in 10 ways, for example, as 9575013904 + 1525996096 = 97852^2 + 39064^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101010009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5569004 + ... + 5570996.

Almost surely, 2^11101010000 is an apocalyptic number.

11101010000 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 11101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469208786).

11101010000 is an abundant number, since it is smaller than the sum of its proper divisors (15837407572).

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

11101010000 is an equidigital number, since it uses as much as digits as its factorization.

11101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2557 counting only the distinct ones).

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

Adding to 11101010000 its reverse (1010111), we get a palindrome (11102020111).

The spelling of 11101010000 in words is "eleven billion, one hundred one million, ten thousand".