11101122121200 has 480 divisors, whose sum is σ = 38696348364480. Its totient is φ = 2709017395200.

The previous prime is 11101122121189. The next prime is 11101122121267. The reversal of 11101122121200 is 212122110111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11101122121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1350333090 + ... + 1350341310.

It is an arithmetic number, because the mean of its divisors is an integer number (80617392426).

Almost surely, 2^{11101122121200} is an apocalyptic number.

11101122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19348174182240).

11101122121200 is an abundant number, since it is smaller than the sum of its proper divisors (27595226243280).

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

11101122121200 is a wasteful number, since it uses less digits than its factorization.

11101122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11101122121200 its reverse (212122110111), we get a palindrome (11313244231311).

The spelling of 11101122121200 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".