11201221121211 has 48 divisors (see below), whose sum is σ = 17771200143840. Its totient is φ = 6742281960960.

The previous prime is 11201221121203. The next prime is 11201221121261. The reversal of 11201221121211 is 11212112210211.

It is a happy number.

11201221121211 is a `hidden beast` number, since 11 + 201 + 221 + 1 + 21 + 211 = 666.

It is not a de Polignac number, because 11201221121211 - 2³ = 11201221121203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11201221121261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10592521 + ... + 11601893.

It is an arithmetic number, because the mean of its divisors is an integer number (370233336330).

Almost surely, 2^{11201221121211} is an apocalyptic number.

11201221121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11201221121211 is a deficient number, since it is larger than the sum of its proper divisors (6569979022629).

11201221121211 is a wasteful number, since it uses less digits than its factorization.

11201221121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010156 (or 1010153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11201221121211 its reverse (11212112210211), we get a palindrome (22413333331422).

The spelling of 11201221121211 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".