11012200021121 has 24 divisors (see below), whose sum is σ = 11929696483320. Its totient is φ = 10105110070272.

The previous prime is 11012200021079. The next prime is 11012200021129. The reversal of 11012200021121 is 12112000221011.

It can be written as a sum of positive squares in 12 ways, for example, as 105271047025 + 10906928974096 = 324455^2 + 3302564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11012200021121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11012200021096 and 11012200021105.

It is not an unprimeable number, because it can be changed into a prime (11012200021129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 654350135 + ... + 654366963.

It is an arithmetic number, because the mean of its divisors is an integer number (497070686805).

Almost surely, 2^{11012200021121} is an apocalyptic number.

It is an amenable number.

11012200021121 is a deficient number, since it is larger than the sum of its proper divisors (917496462199).

11012200021121 is a wasteful number, since it uses less digits than its factorization.

11012200021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18533 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11012200021121 its reverse (12112000221011), we get a palindrome (23124200242132).

The spelling of 11012200021121 in words is "eleven trillion, twelve billion, two hundred million, twenty-one thousand, one hundred twenty-one".