10221341000 has 256 divisors, whose sum is σ = 26769899520. Its totient is φ = 3628800000.

The previous prime is 10221340973. The next prime is 10221341017. The reversal of 10221341000 is 14312201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67690925 + ... + 67691075.

It is an arithmetic number, because the mean of its divisors is an integer number (104569920).

Almost surely, 2^10221341000 is an apocalyptic number.

10221341000 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 10221341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384949760).

10221341000 is an abundant number, since it is smaller than the sum of its proper divisors (16548558520).

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

10221341000 is a wasteful number, since it uses less digits than its factorization.

10221341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10221341000 its reverse (14312201), we get a palindrome (10235653201).

The spelling of 10221341000 in words is "ten billion, two hundred twenty-one million, three hundred forty-one thousand".