11201122121211 has 24 divisors (see below), whose sum is σ = 18127286911344. Its totient is φ = 6605084295360.

The previous prime is 11201122121149. The next prime is 11201122121243. The reversal of 11201122121211 is 11212122110211.

It is a happy number.

11201122121211 is a `hidden beast` number, since 11 + 201 + 1 + 221 + 21 + 211 = 666.

It is not a de Polignac number, because 11201122121211 - 2¹⁰ = 11201122120187 is a prime.

It is a super-2 number, since 2×11201122121211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201122121251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528951036 + ... + 1528958361.

It is an arithmetic number, because the mean of its divisors is an integer number (755303621306).

Almost surely, 2^{11201122121211} is an apocalyptic number.

11201122121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11201122121211 is a deficient number, since it is larger than the sum of its proper divisors (6926164790133).

11201122121211 is a wasteful number, since it uses less digits than its factorization.

11201122121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057909451 (or 3057909448 counting only the distinct ones).

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

Adding to 11201122121211 its reverse (11212122110211), we get a palindrome (22413244231422).

It can be divided in two parts, 112011 and 22121211, that added together give a palindrome (22233222).

The spelling of 11201122121211 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred eleven".