11132012100 has 216 divisors, whose sum is σ = 35533663200. Its totient is φ = 2688716800.

The previous prime is 11132012083. The next prime is 11132012137. The reversal of 11132012100 is 121023111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16298359 + ... + 16299041.

It is an arithmetic number, because the mean of its divisors is an integer number (164507700).

Almost surely, 2^11132012100 is an apocalyptic number.

11132012100 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 11132012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766831600).

11132012100 is an abundant number, since it is smaller than the sum of its proper divisors (24401651100).

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

11132012100 is a wasteful number, since it uses less digits than its factorization.

11132012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

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

Adding to 11132012100 its reverse (121023111), we get a palindrome (11253035211).

The spelling of 11132012100 in words is "eleven billion, one hundred thirty-two million, twelve thousand, one hundred".