10122221120 has 168 divisors, whose sum is σ = 27890419200. Its totient is φ = 3486827520.

The previous prime is 10122221119. The next prime is 10122221147. The reversal of 10122221120 is 2112222101.

It is a junction number, because it is equal to n+sod(n) for n = 10122221095 and 10122221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728801 + ... + 742559.

It is an arithmetic number, because the mean of its divisors is an integer number (166014400).

Almost surely, 2^10122221120 is an apocalyptic number.

10122221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945209600).

10122221120 is an abundant number, since it is smaller than the sum of its proper divisors (17768198080).

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

10122221120 is a wasteful number, since it uses less digits than its factorization.

10122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122221120 its reverse (2112222101), we get a palindrome (12234443221).

The spelling of 10122221120 in words is "ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".