11101112112200 has 72 divisors (see below), whose sum is σ = 28369763639490. Its totient is φ = 4036768032000.

The previous prime is 11101112112179. The next prime is 11101112112221. The reversal of 11101112112200 is 221121110111.

It is an interprime number because it is at equal distance from previous prime (11101112112179) and next prime (11101112112221).

It can be written as a sum of positive squares in 3 ways, for example, as 8120938275076 + 2980173837124 = 2849726^2 + 1726318^2 .

It is a super-3 number, since 3×11101112112200³ (a number of 40 digits) contains 333 as substring.

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 17 ways as a sum of consecutive naturals, for example, 229337621 + ... + 229386020.

Almost surely, 2^{11101112112200} is an apocalyptic number.

11101112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101112112200 is an abundant number, since it is smaller than the sum of its proper divisors (17268651527290).

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

11101112112200 is a wasteful number, since it uses less digits than its factorization.

11101112112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458723679 (or 458723659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11101112112200 its reverse (221121110111), we get a palindrome (11322233222311).

The spelling of 11101112112200 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred twelve thousand, two hundred".