11111200100000 has 864 divisors, whose sum is σ = 36993012045696. Its totient is φ = 3196512000000.

The previous prime is 11111200099999. The next prime is 11111200100003. The reversal of 11111200100000 is 100211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11111200100003) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1101094955 + ... + 1101105045.

It is an arithmetic number, because the mean of its divisors is an integer number (42815986164).

Almost surely, 2^{11111200100000} is an apocalyptic number.

11111200100000 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 11111200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496506022848).

11111200100000 is an abundant number, since it is smaller than the sum of its proper divisors (25881811945696).

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

11111200100000 is a wasteful number, since it uses less digits than its factorization.

11111200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11111200100000 its reverse (100211111), we get a palindrome (11111300311111).

The spelling of 11111200100000 in words is "eleven trillion, one hundred eleven billion, two hundred million, one hundred thousand".