11101123200 has 96 divisors (see below), whose sum is σ = 36564356160. Its totient is φ = 2960296960.

The previous prime is 11101123181. The next prime is 11101123361. The reversal of 11101123200 is 232110111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 568584 + ... + 587783.

It is an arithmetic number, because the mean of its divisors is an integer number (380878710).

Almost surely, 2^11101123200 is an apocalyptic number.

11101123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101123200 is an abundant number, since it is smaller than the sum of its proper divisors (25463232960).

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

11101123200 is a wasteful number, since it uses less digits than its factorization.

11101123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156394 (or 1156377 counting only the distinct ones).

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

Adding to 11101123200 its reverse (232110111), we get a palindrome (11333233311).

The spelling of 11101123200 in words is "eleven billion, one hundred one million, one hundred twenty-three thousand, two hundred".