11220212201100 has 288 divisors, whose sum is σ = 37337040609792. Its totient is φ = 2548385280000.

The previous prime is 11220212201083. The next prime is 11220212201141. The reversal of 11220212201100 is 110221202211.

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 11220212201100.

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 95 ways as a sum of consecutive naturals, for example, 233288055 + ... + 233336145.

Almost surely, 2^{11220212201100} is an apocalyptic number.

11220212201100 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 11220212201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668520304896).

11220212201100 is an abundant number, since it is smaller than the sum of its proper divisors (26116828408692).

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

11220212201100 is a wasteful number, since it uses less digits than its factorization.

11220212201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48817 (or 48810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220212201100 its reverse (110221202211), we get a palindrome (11330433403311).

The spelling of 11220212201100 in words is "eleven trillion, two hundred twenty billion, two hundred twelve million, two hundred one thousand, one hundred".