11211221101122 has 192 divisors, whose sum is σ = 28815201792000. Its totient is φ = 3083601882240.

The previous prime is 11211221101099. The next prime is 11211221101127. The reversal of 11211221101122 is 22110112211211.

It is a happy number.

11211221101122 is a `hidden beast` number, since 11 + 211 + 221 + 101 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11211221101095 and 11211221101104.

It is not an unprimeable number, because it can be changed into a prime (11211221101127) 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 95 ways as a sum of consecutive naturals, for example, 166031347 + ... + 166098857.

It is an arithmetic number, because the mean of its divisors is an integer number (150079176000).

Almost surely, 2^{11211221101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211221101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407600896000).

11211221101122 is an abundant number, since it is smaller than the sum of its proper divisors (17603980690878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211221101122 is a wasteful number, since it uses less digits than its factorization.

11211221101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67941 (or 67938 counting only the distinct ones).

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

Adding to 11211221101122 its reverse (22110112211211), we get a palindrome (33321333312333).

It can be divided in two parts, 11211 and 221101122, that multiplied together give a palindrome (2478764678742).

The spelling of 11211221101122 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-two".