11201220100000 has 1152 divisors, whose sum is σ = 35514606919680. Its totient is φ = 3384944640000.

The previous prime is 11201220099997. The next prime is 11201220100001. The reversal of 11201220100000 is 102210211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11201220100000.

It is not an unprimeable number, because it can be changed into a prime (11201220100001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24192699769 + ... + 24192700231.

It is an arithmetic number, because the mean of its divisors is an integer number (30828651840).

Almost surely, 2^{11201220100000} is an apocalyptic number.

11201220100000 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 11201220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757303459840).

11201220100000 is an abundant number, since it is smaller than the sum of its proper divisors (24313386819680).

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

11201220100000 is a wasteful number, since it uses less digits than its factorization.

11201220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201220100000 its reverse (102210211), we get a palindrome (11201322310211).

The spelling of 11201220100000 in words is "eleven trillion, two hundred one billion, two hundred twenty million, one hundred thousand".