10221301243104 has 192 divisors, whose sum is σ = 31113194434560. Its totient is φ = 2877657477120.

The previous prime is 10221301243003. The next prime is 10221301243133. The reversal of 10221301243104 is 40134210312201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52343409 + ... + 52538319.

It is an arithmetic number, because the mean of its divisors is an integer number (162047887680).

Almost surely, 2^{10221301243104} is an apocalyptic number.

10221301243104 is a gapful number since it is divisible by the number (14) 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 10221301243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556597217280).

10221301243104 is an abundant number, since it is smaller than the sum of its proper divisors (20891893191456).

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

10221301243104 is a wasteful number, since it uses less digits than its factorization.

10221301243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196073 (or 196065 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10221301243104 its reverse (40134210312201), we get a palindrome (50355511555305).

The spelling of 10221301243104 in words is "ten trillion, two hundred twenty-one billion, three hundred one million, two hundred forty-three thousand, one hundred four".