11112100101200 has 60 divisors (see below), whose sum is σ = 30510651999840. Its totient is φ = 3809862890880.

The previous prime is 11112100101149. The next prime is 11112100101203. The reversal of 11112100101200 is 210100121111.

11112100101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112100101203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1984300790 + ... + 1984306389.

It is an arithmetic number, because the mean of its divisors is an integer number (508510866664).

Almost surely, 2^{11112100101200} is an apocalyptic number.

11112100101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112100101200 is an abundant number, since it is smaller than the sum of its proper divisors (19398551898640).

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

11112100101200 is a wasteful number, since it uses less digits than its factorization.

11112100101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968607204 (or 3968607193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11112100101200 its reverse (210100121111), we get a palindrome (11322200222311).

The spelling of 11112100101200 in words is "eleven trillion, one hundred twelve billion, one hundred million, one hundred one thousand, two hundred".