11100112131200 has 96 divisors (see below), whose sum is σ = 27421837674660. Its totient is φ = 4439868047360.

The previous prime is 11100112131193. The next prime is 11100112131247. The reversal of 11100112131200 is 213121100111.

It can be written as a sum of positive squares in 6 ways, for example, as 118947732544 + 10981164398656 = 344888^2 + 3313784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105525032 + ... + 105630168.

Almost surely, 2^{11100112131200} is an apocalyptic number.

11100112131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100112131200 is an abundant number, since it is smaller than the sum of its proper divisors (16321725543460).

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

11100112131200 is a wasteful number, since it uses less digits than its factorization.

11100112131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138154 (or 138137 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11100112131200 its reverse (213121100111), we get a palindrome (11313233231311).

The spelling of 11100112131200 in words is "eleven trillion, one hundred billion, one hundred twelve million, one hundred thirty-one thousand, two hundred".