10041221120 has 168 divisors, whose sum is σ = 28037341944. Its totient is φ = 3442016256.

The previous prime is 10041221119. The next prime is 10041221189. The reversal of 10041221120 is 2112214001.

It is a happy number.

It is a super-2 number, since 2×10041221120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10041221095 and 10041221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2004539 + ... + 2009541.

Almost surely, 2^10041221120 is an apocalyptic number.

10041221120 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 10041221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018670972).

10041221120 is an abundant number, since it is smaller than the sum of its proper divisors (17996120824).

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

10041221120 is an frugal number, since it uses more digits than its factorization.

10041221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5017 counting only the distinct ones).

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

Adding to 10041221120 its reverse (2112214001), we get a palindrome (12153435121).

The spelling of 10041221120 in words is "ten billion, forty-one million, two hundred twenty-one thousand, one hundred twenty".