10011221332320 has 288 divisors, whose sum is σ = 34017897527712. Its totient is φ = 2460188934144.

The previous prime is 10011221332297. The next prime is 10011221332349. The reversal of 10011221332320 is 2323312211001.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3690091284 + ... + 3690093996.

It is an arithmetic number, because the mean of its divisors is an integer number (118117699749).

Almost surely, 2^{10011221332320} is an apocalyptic number.

10011221332320 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 10011221332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008948763856).

10011221332320 is an abundant number, since it is smaller than the sum of its proper divisors (24006676195392).

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

10011221332320 is an equidigital number, since it uses as much as digits as its factorization.

10011221332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 3505 counting only the distinct ones).

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

Adding to 10011221332320 its reverse (2323312211001), we get a palindrome (12334533543321).

The spelling of 10011221332320 in words is "ten trillion, eleven billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".