11012112112221 has 24 divisors (see below), whose sum is σ = 17359205726304. Its totient is φ = 6671397094560.

The previous prime is 11012112112213. The next prime is 11012112112249. The reversal of 11012112112221 is 12221121121011.

It is a happy number.

11012112112221 is a `hidden beast` number, since 110 + 121 + 1 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 11012112112221 - 2³ = 11012112112213 is a prime.

It is a super-2 number, since 2×11012112112221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11012112112194 and 11012112112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012112112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21497631 + ... + 22003916.

It is an arithmetic number, because the mean of its divisors is an integer number (723300238596).

Almost surely, 2^{11012112112221} is an apocalyptic number.

11012112112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012112112221 is a deficient number, since it is larger than the sum of its proper divisors (6347093614083).

11012112112221 is a wasteful number, since it uses less digits than its factorization.

11012112112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43504121 (or 43504118 counting only the distinct ones).

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

Adding to 11012112112221 its reverse (12221121121011), we get a palindrome (23233233233232).

The spelling of 11012112112221 in words is "eleven trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".