10221445554400 has 144 divisors (see below), whose sum is σ = 26427344322960. Its totient is φ = 3847139942400.

The previous prime is 10221445554391. The next prime is 10221445554421. The reversal of 10221445554400 is 445554412201.

It is a self number, because there is not a number n which added to its sum of digits gives 10221445554400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57289330 + ... + 57467470.

It is an arithmetic number, because the mean of its divisors is an integer number (183523224465).

Almost surely, 2^{10221445554400} is an apocalyptic number.

10221445554400 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 10221445554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213672161480).

10221445554400 is an abundant number, since it is smaller than the sum of its proper divisors (16205898768560).

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

10221445554400 is a wasteful number, since it uses less digits than its factorization.

10221445554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182397 (or 182384 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

Adding to 10221445554400 its reverse (445554412201), we get a palindrome (10666999966601).

The spelling of 10221445554400 in words is "ten trillion, two hundred twenty-one billion, four hundred forty-five million, five hundred fifty-four thousand, four hundred".