10222021120 has 160 divisors (see below), whose sum is σ = 26106485328. Its totient is φ = 3825205248.

The previous prime is 10222021099. The next prime is 10222021129. The reversal of 10222021120 is 2112022201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3675269376 + 6546751744 = 60624^2 + 80912^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 10222021120.

It is not an unprimeable number, because it can be changed into a prime (10222021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8398752 + ... + 8399968.

Almost surely, 2^10222021120 is an apocalyptic number.

10222021120 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 10222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053242664).

10222021120 is an abundant number, since it is smaller than the sum of its proper divisors (15884464208).

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

10222021120 is a wasteful number, since it uses less digits than its factorization.

10222021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10222021120 its reverse (2112022201), we get a palindrome (12334043321).

The spelling of 10222021120 in words is "ten billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".