10002230221312 has 160 divisors (see below), whose sum is σ = 23010546873600. Its totient is φ = 4254689034240.

The previous prime is 10002230221259. The next prime is 10002230221367. The reversal of 10002230221312 is 21312203220001.

It is a self number, because there is not a number n which added to its sum of digits gives 10002230221312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790871373 + ... + 790884019.

It is an arithmetic number, because the mean of its divisors is an integer number (143815917960).

Almost surely, 2^{10002230221312} 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 10002230221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505273436800).

10002230221312 is an abundant number, since it is smaller than the sum of its proper divisors (13008316652288).

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

10002230221312 is a wasteful number, since it uses less digits than its factorization.

10002230221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302 (or 14286 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10002230221312 its reverse (21312203220001), we get a palindrome (31314433441313).

The spelling of 10002230221312 in words is "ten trillion, two billion, two hundred thirty million, two hundred twenty-one thousand, three hundred twelve".