10221210000 has 225 divisors, whose sum is σ = 35851430901. Its totient is φ = 2717568000.

The previous prime is 10221209987. The next prime is 10221210001. The reversal of 10221210000 is 1212201.

The square root of 10221210000 is 101100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9534350736 + 686859264 = 97644^2 + 26208^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10221210001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30329832 + ... + 30330168.

Almost surely, 2^10221210000 is an apocalyptic number.

10221210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221210000 is the 101100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221210000

10221210000 is an abundant number, since it is smaller than the sum of its proper divisors (25630220901).

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

10221210000 is an frugal number, since it uses more digits than its factorization.

10221210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10221210000 its reverse (1212201), we get a palindrome (10222422201).

The spelling of 10221210000 in words is "ten billion, two hundred twenty-one million, two hundred ten thousand".