10221288376224 has 96 divisors (see below), whose sum is σ = 27033592380480. Its totient is φ = 3381367764992.

The previous prime is 10221288376219. The next prime is 10221288376267. The reversal of 10221288376224 is 42267388212201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52761202 + ... + 52954574.

It is an arithmetic number, because the mean of its divisors is an integer number (281599920630).

Almost surely, 2^{10221288376224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221288376224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13516796190240).

10221288376224 is an abundant number, since it is smaller than the sum of its proper divisors (16812304004256).

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

10221288376224 is a wasteful number, since it uses less digits than its factorization.

10221288376224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197542 (or 197534 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 10221288376224 in words is "ten trillion, two hundred twenty-one billion, two hundred eighty-eight million, three hundred seventy-six thousand, two hundred twenty-four".