10012221120 has 224 divisors, whose sum is σ = 35006743296. Its totient is φ = 2404249600.

The previous prime is 10012221119. The next prime is 10012221143. The reversal of 10012221120 is 2112221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012221096 and 10012221105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125490 + ... + 1134350.

It is an arithmetic number, because the mean of its divisors is an integer number (156280104).

Almost surely, 2^10012221120 is an apocalyptic number.

10012221120 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 10012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503371648).

10012221120 is an abundant number, since it is smaller than the sum of its proper divisors (24994522176).

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

10012221120 is a wasteful number, since it uses less digits than its factorization.

10012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012221120 its reverse (2112221001), we get a palindrome (12124442121).

It can be divided in two parts, 10012 and 221120, that added together give a palindrome (231132).

The spelling of 10012221120 in words is "ten billion, twelve million, two hundred twenty-one thousand, one hundred twenty".