10221001120 has 192 divisors, whose sum is σ = 28023553152. Its totient is φ = 3481600000.

The previous prime is 10221001097. The next prime is 10221001129. The reversal of 10221001120 is 2110012201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10221001097 and 10221001106.

It is not an unprimeable number, because it can be changed into a prime (10221001129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7509240 + ... + 7510600.

It is an arithmetic number, because the mean of its divisors is an integer number (145956006).

Almost surely, 2^10221001120 is an apocalyptic number.

10221001120 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 10221001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011776576).

10221001120 is an abundant number, since it is smaller than the sum of its proper divisors (17802552032).

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

10221001120 is a wasteful number, since it uses less digits than its factorization.

10221001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221001120 its reverse (2110012201), we get a palindrome (12331013321).

The spelling of 10221001120 in words is "ten billion, two hundred twenty-one million, one thousand, one hundred twenty".