10221200000 has 384 divisors, whose sum is σ = 29259377280. Its totient is φ = 3520000000.

The previous prime is 10221199979. The next prime is 10221200009. The reversal of 10221200000 is 212201.

Added to its reverse (212201) it gives a square (10221412201 = 101101²).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101199950 + ... + 101200050.

It is an arithmetic number, because the mean of its divisors is an integer number (76196295).

Almost surely, 2^10221200000 is an apocalyptic number.

10221200000 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 10221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629688640).

10221200000 is an abundant number, since it is smaller than the sum of its proper divisors (19038177280).

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

10221200000 is an equidigital number, since it uses as much as digits as its factorization.

10221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

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

Adding to 10221200000 its reverse (212201), we get a palindrome (10221412201).

The spelling of 10221200000 in words is "ten billion, two hundred twenty-one million, two hundred thousand".