11101222021201 has 64 divisors (see below), whose sum is σ = 12349501496640. Its totient is φ = 9916811182080.

The previous prime is 11101222021193. The next prime is 11101222021213. The reversal of 11101222021201 is 10212022210111.

It can be written as a sum of positive squares in 32 ways, for example, as 2449099801600 + 8652122219601 = 1564960^2 + 2941449^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101222021201 - 2³ = 11101222021193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101222021261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8403649621 + ... + 8403650941.

It is an arithmetic number, because the mean of its divisors is an integer number (192960960885).

Almost surely, 2^{11101222021201} is an apocalyptic number.

It is an amenable number.

11101222021201 is a deficient number, since it is larger than the sum of its proper divisors (1248279475439).

11101222021201 is a wasteful number, since it uses less digits than its factorization.

11101222021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101222021201 its reverse (10212022210111), we get a palindrome (21313244231312).

The spelling of 11101222021201 in words is "eleven trillion, one hundred one billion, two hundred twenty-two million, twenty-one thousand, two hundred one".