22121120122110 has 192 divisors, whose sum is σ = 59873798350080. Its totient is φ = 5659707755520.

The previous prime is 22121120122103. The next prime is 22121120122169. The reversal of 22121120122110 is 1122102112122.

22121120122110 is a `hidden beast` number, since 2 + 21 + 211 + 201 + 221 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 269626795 + ... + 269708825.

It is an arithmetic number, because the mean of its divisors is an integer number (311842699740).

Almost surely, 2^{22121120122110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121120122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29936899175040).

22121120122110 is an abundant number, since it is smaller than the sum of its proper divisors (37752678227970).

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

22121120122110 is a wasteful number, since it uses less digits than its factorization.

22121120122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82723 (or 82720 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22121120122110 its reverse (1122102112122), we get a palindrome (23243222234232).

The spelling of 22121120122110 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred ten".