11134210100 has 108 divisors (see below), whose sum is σ = 26802542340. Its totient is φ = 4010572800.

The previous prime is 11134210099. The next prime is 11134210133. The reversal of 11134210100 is 101243111.

It can be written as a sum of positive squares in 18 ways, for example, as 10863475984 + 270734116 = 104228^2 + 16454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 684866 + ... + 700934.

Almost surely, 2^11134210100 is an apocalyptic number.

11134210100 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 11134210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13401271170).

11134210100 is an abundant number, since it is smaller than the sum of its proper divisors (15668332240).

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

11134210100 is a wasteful number, since it uses less digits than its factorization.

11134210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16130 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11134210100 its reverse (101243111), we get a palindrome (11235453211).

The spelling of 11134210100 in words is "eleven billion, one hundred thirty-four million, two hundred ten thousand, one hundred".