10221354000 has 1080 divisors, whose sum is σ = 44599942296. Its totient is φ = 2166912000.

The previous prime is 10221353941. The next prime is 10221354029. The reversal of 10221354000 is 45312201.

10221354000 is a `hidden beast` number, since 10 + 221 + 35 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1610256384 + 8611097616 = 40128^2 + 92796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 537965991 + ... + 537966009.

Almost surely, 2^10221354000 is an apocalyptic number.

10221354000 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 10221354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22299971148).

10221354000 is an abundant number, since it is smaller than the sum of its proper divisors (34378588296).

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

10221354000 is a wasteful number, since it uses less digits than its factorization.

10221354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10221354000 its reverse (45312201), we get a palindrome (10266666201).

The spelling of 10221354000 in words is "ten billion, two hundred twenty-one million, three hundred fifty-four thousand".