11130210011100 has 144 divisors (see below), whose sum is σ = 33928909660800. Its totient is φ = 2809305457920.

The previous prime is 11130210011077. The next prime is 11130210011101. The reversal of 11130210011100 is 111001203111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130210011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5440927 + ... + 7201673.

It is an arithmetic number, because the mean of its divisors is an integer number (235617428200).

Almost surely, 2^{11130210011100} is an apocalyptic number.

11130210011100 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 11130210011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964454830400).

11130210011100 is an abundant number, since it is smaller than the sum of its proper divisors (22798699649700).

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

11130210011100 is a wasteful number, since it uses less digits than its factorization.

11130210011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761892 (or 1761885 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11130210011100 its reverse (111001203111), we get a palindrome (11241211214211).

The spelling of 11130210011100 in words is "eleven trillion, one hundred thirty billion, two hundred ten million, eleven thousand, one hundred".