11130112032100 has 144 divisors (see below), whose sum is σ = 25385830702848. Its totient is φ = 4231373045760.

The previous prime is 11130112032073. The next prime is 11130112032119. The reversal of 11130112032100 is 123021103111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34804132 + ... + 35122468.

It is an arithmetic number, because the mean of its divisors is an integer number (176290490992).

Almost surely, 2^{11130112032100} is an apocalyptic number.

11130112032100 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 11130112032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692915351424).

11130112032100 is an abundant number, since it is smaller than the sum of its proper divisors (14255718670748).

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

11130112032100 is a wasteful number, since it uses less digits than its factorization.

11130112032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318614 (or 318607 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11130112032100 its reverse (123021103111), we get a palindrome (11253133135211).

The spelling of 11130112032100 in words is "eleven trillion, one hundred thirty billion, one hundred twelve million, thirty-two thousand, one hundred".