10222821264 has 80 divisors (see below), whose sum is σ = 27100140480. Its totient is φ = 3318712320.

The previous prime is 10222821251. The next prime is 10222821277. The reversal of 10222821264 is 46212822201.

10222821264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10222821251) and next prime (10222821277).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210047 + ... + 1218465.

It is an arithmetic number, because the mean of its divisors is an integer number (338751756).

Almost surely, 2^10222821264 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 10222821264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550070240).

10222821264 is an abundant number, since it is smaller than the sum of its proper divisors (16877319216).

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

10222821264 is a wasteful number, since it uses less digits than its factorization.

10222821264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 10222821264 in words is "ten billion, two hundred twenty-two million, eight hundred twenty-one thousand, two hundred sixty-four".