11211102021120 has 80 divisors (see below), whose sum is σ = 35840491798320. Its totient is φ = 2989627203584.

The previous prime is 11211102021029. The next prime is 11211102021167. The reversal of 11211102021120 is 2112020111211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 11211102021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729881775 + ... + 729897134.

It is an arithmetic number, because the mean of its divisors is an integer number (448006147479).

Almost surely, 2^{11211102021120} is an apocalyptic number.

11211102021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211102021120 is an abundant number, since it is smaller than the sum of its proper divisors (24629389777200).

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

11211102021120 is an equidigital number, since it uses as much as digits as its factorization.

11211102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459778935 (or 1459778919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211102021120 its reverse (2112020111211), we get a palindrome (13323122132331).

The spelling of 11211102021120 in words is "eleven trillion, two hundred eleven billion, one hundred two million, twenty-one thousand, one hundred twenty".