21122242110 has 192 divisors, whose sum is σ = 59855215680. Its totient is φ = 5147750400.

The previous prime is 21122242079. The next prime is 21122242139. The reversal of 21122242110 is 1124222112.

21122242110 is a `hidden beast` number, since 2 + 11 + 222 + 421 + 10 = 666.

It is a super-2 number, since 2×21122242110² (a number of 21 digits) contains 22 as substring.

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, 8188801 + ... + 8191379.

It is an arithmetic number, because the mean of its divisors is an integer number (311745915).

Almost surely, 2^21122242110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122242110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29927607840).

21122242110 is an abundant number, since it is smaller than the sum of its proper divisors (38732973570).

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

21122242110 is a wasteful number, since it uses less digits than its factorization.

21122242110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122242110 its reverse (1124222112), we get a palindrome (22246464222).

The spelling of 21122242110 in words is "twenty-one billion, one hundred twenty-two million, two hundred forty-two thousand, one hundred ten".