11101101111200 has 72 divisors (see below), whose sum is σ = 27122833800972. Its totient is φ = 4436791377920.

The previous prime is 11101101111193. The next prime is 11101101111227. The reversal of 11101101111200 is 211110110111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3537875093776 + 7563226017424 = 1880924^2 + 2750132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4727459 + ... + 6674658.

Almost surely, 2^{11101101111200} is an apocalyptic number.

11101101111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101101111200 is an abundant number, since it is smaller than the sum of its proper divisors (16021732689772).

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

11101101111200 is a wasteful number, since it uses less digits than its factorization.

11101101111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11403354 (or 11403341 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11101101111200 its reverse (211110110111), we get a palindrome (11312211221311).

The spelling of 11101101111200 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, two hundred".