11101211100200 has 48 divisors (see below), whose sum is σ = 27795724722780. Its totient is φ = 4098908712960.

The previous prime is 11101211100181. The next prime is 11101211100211. The reversal of 11101211100200 is 200111210111.

It can be written as a sum of positive squares in 6 ways, for example, as 1493777728804 + 9607433371396 = 1222202^2 + 3099586^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134845689 + ... + 2134850888.

Almost surely, 2^{11101211100200} is an apocalyptic number.

11101211100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101211100200 is an abundant number, since it is smaller than the sum of its proper divisors (16694513622580).

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

11101211100200 is a wasteful number, since it uses less digits than its factorization.

11101211100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269696606 (or 4269696597 counting only the distinct ones).

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

Adding to 11101211100200 its reverse (200111210111), we get a palindrome (11301322310311).

The spelling of 11101211100200 in words is "eleven trillion, one hundred one billion, two hundred eleven million, one hundred thousand, two hundred".