10204221334000 has 160 divisors (see below), whose sum is σ = 25182331102656. Its totient is φ = 3997828889600.

The previous prime is 10204221333989. The next prime is 10204221334007. The reversal of 10204221334000 is 43312240201.

It is a super-2 number, since 2×10204221334000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204221334007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62140002 + ... + 62303998.

Almost surely, 2^{10204221334000} is an apocalyptic number.

10204221334000 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 10204221334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591165551328).

10204221334000 is an abundant number, since it is smaller than the sum of its proper divisors (14978109768656).

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

10204221334000 is a wasteful number, since it uses less digits than its factorization.

10204221334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164660 (or 164644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10204221334000 its reverse (43312240201), we get a palindrome (10247533574201).

The spelling of 10204221334000 in words is "ten trillion, two hundred four billion, two hundred twenty-one million, three hundred thirty-four thousand".