11201100220000 has 120 divisors (see below), whose sum is σ = 27840477989016. Its totient is φ = 4434249216000.

The previous prime is 11201100219973. The next prime is 11201100220003. The reversal of 11201100220000 is 2200110211.

11201100220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11201100220000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201100220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 946882 + ... + 4826881.

Almost surely, 2^{11201100220000} is an apocalyptic number.

11201100220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201100220000 is an abundant number, since it is smaller than the sum of its proper divisors (16639377769016).

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

11201100220000 is an frugal number, since it uses more digits than its factorization.

11201100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773890 (or 5773867 counting only the distinct ones).

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

Adding to 11201100220000 its reverse (2200110211), we get a palindrome (11203300330211).

The spelling of 11201100220000 in words is "eleven trillion, two hundred one billion, one hundred million, two hundred twenty thousand".