10234221120 has 168 divisors, whose sum is σ = 35254859640. Its totient is φ = 2724986880.

The previous prime is 10234221113. The next prime is 10234221121. The reversal of 10234221120 is 2112243201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 414203904 + 9820017216 = 20352^2 + 99096^2 .

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 = 10234221093 and 10234221102.

It is not an unprimeable number, because it can be changed into a prime (10234221121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212410 + ... + 2217030.

It is an arithmetic number, because the mean of its divisors is an integer number (209850355).

Almost surely, 2^10234221120 is an apocalyptic number.

10234221120 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 10234221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17627429820).

10234221120 is an abundant number, since it is smaller than the sum of its proper divisors (25020638520).

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

10234221120 is a wasteful number, since it uses less digits than its factorization.

10234221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10234221120 its reverse (2112243201), we get a palindrome (12346464321).

The spelling of 10234221120 in words is "ten billion, two hundred thirty-four million, two hundred twenty-one thousand, one hundred twenty".