11201121100000 has 144 divisors (see below), whose sum is σ = 29683767054816. Its totient is φ = 4135798080000.

The previous prime is 11201121099989. The next prime is 11201121100003. The reversal of 11201121100000 is 112110211.

It is a super-2 number, since 2×11201121100000² (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 self number, because there is not a number n which added to its sum of digits gives 11201121100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201121100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3008124 + ... + 5608123.

It is an arithmetic number, because the mean of its divisors is an integer number (206137271214).

Almost surely, 2^{11201121100000} is an apocalyptic number.

11201121100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201121100000 is an abundant number, since it is smaller than the sum of its proper divisors (18482645954816).

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

11201121100000 is an frugal number, since it uses more digits than its factorization.

11201121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616295 (or 8616267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201121100000 its reverse (112110211), we get a palindrome (11201233210211).

The spelling of 11201121100000 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand".