10221122080 has 96 divisors (see below), whose sum is σ = 26495837424. Its totient is φ = 3702706176.

The previous prime is 10221121951. The next prime is 10221122081. The reversal of 10221122080 is 8022112201.

It can be written as a sum of positive squares in 8 ways, for example, as 6017415184 + 4203706896 = 77572^2 + 64836^2 .

It is not an unprimeable number, because it can be changed into a prime (10221122081) 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, 63882 + ... + 156598.

Almost surely, 2^10221122080 is an apocalyptic number.

10221122080 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 10221122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247918712).

10221122080 is an abundant number, since it is smaller than the sum of its proper divisors (16274715344).

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

10221122080 is a wasteful number, since it uses less digits than its factorization.

10221122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92798 (or 92790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10221122080 its reverse (8022112201), we get a palindrome (18243234281).

The spelling of 10221122080 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand, eighty".