10221334000 has 80 divisors (see below), whose sum is σ = 24744148416. Its totient is φ = 4083744000.

The previous prime is 10221333973. The next prime is 10221334037. The reversal of 10221334000 is 43312201.

It is a happy number.

10221334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059522 + ... + 2064478.

Almost surely, 2^10221334000 is an apocalyptic number.

10221334000 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 10221334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372074208).

10221334000 is an abundant number, since it is smaller than the sum of its proper divisors (14522814416).

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

10221334000 is a wasteful number, since it uses less digits than its factorization.

10221334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10221334000 its reverse (43312201), we get a palindrome (10264646201).

The spelling of 10221334000 in words is "ten billion, two hundred twenty-one million, three hundred thirty-four thousand".