11220102001121 has 16 divisors (see below), whose sum is σ = 12373664832144. Its totient is φ = 10110019954944.

The previous prime is 11220102001103. The next prime is 11220102001133. The reversal of 11220102001121 is 12110020102211.

It can be written as a sum of positive squares in 8 ways, for example, as 11426541025 + 11208675460096 = 106895^2 + 3347936^2 .

It is not a de Polignac number, because 11220102001121 - 2²⁶ = 11220034892257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11220102001096 and 11220102001105.

It is not an unprimeable number, because it can be changed into a prime (11220102001151) 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 15 ways as a sum of consecutive naturals, for example, 41195786 + ... + 41467251.

It is an arithmetic number, because the mean of its divisors is an integer number (773354052009).

Almost surely, 2^{11220102001121} is an apocalyptic number.

It is an amenable number.

11220102001121 is a deficient number, since it is larger than the sum of its proper divisors (1153562831023).

11220102001121 is a wasteful number, since it uses less digits than its factorization.

11220102001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82663300.

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

Adding to 11220102001121 its reverse (12110020102211), we get a palindrome (23330122103332).

The spelling of 11220102001121 in words is "eleven trillion, two hundred twenty billion, one hundred two million, one thousand, one hundred twenty-one".