10213120321000 has 32 divisors (see below), whose sum is σ = 23898701553480. Its totient is φ = 4085248128000.

The previous prime is 10213120320989. The next prime is 10213120321003. The reversal of 10213120321000 is 12302131201.

10213120321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 765943533124 + 9447176787876 = 875182^2 + 3073626^2 .

It is not an unprimeable number, because it can be changed into a prime (10213120321003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5106559161 + ... + 5106561160.

Almost surely, 2^{10213120321000} is an apocalyptic number.

10213120321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213120321000 is an abundant number, since it is smaller than the sum of its proper divisors (13685581232480).

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

10213120321000 is a wasteful number, since it uses less digits than its factorization.

10213120321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213120342 (or 10213120328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10213120321000 its reverse (12302131201), we get a palindrome (10225422452201).

The spelling of 10213120321000 in words is "ten trillion, two hundred thirteen billion, one hundred twenty million, three hundred twenty-one thousand".