10221313123200 has 192 divisors, whose sum is σ = 35130209558400. Its totient is φ = 2607175464960.

The previous prime is 10221313123187. The next prime is 10221313123277. The reversal of 10221313123200 is 232131312201.

10221313123200 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 (192).

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, 22925290 + ... + 23366889.

It is an arithmetic number, because the mean of its divisors is an integer number (182969841450).

Almost surely, 2^{10221313123200} is an apocalyptic number.

10221313123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221313123200 is an abundant number, since it is smaller than the sum of its proper divisors (24908896435200).

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

10221313123200 is a wasteful number, since it uses less digits than its factorization.

10221313123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46292229 (or 46292212 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10221313123200 its reverse (232131312201), we get a palindrome (10453444435401).

The spelling of 10221313123200 in words is "ten trillion, two hundred twenty-one billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred".