10321012322000 has 160 divisors (see below), whose sum is σ = 25146199837824. Its totient is φ = 4097049984000.

The previous prime is 10321012321957. The next prime is 10321012322003. The reversal of 10321012322000 is 22321012301.

It is a self number, because there is not a number n which added to its sum of digits gives 10321012322000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321012322003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225243092 + ... + 225288908.

Almost surely, 2^{10321012322000} is an apocalyptic number.

10321012322000 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 10321012322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573099918912).

10321012322000 is an abundant number, since it is smaller than the sum of its proper divisors (14825187515824).

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

10321012322000 is a wasteful number, since it uses less digits than its factorization.

10321012322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46694 (or 46678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10321012322000 its reverse (22321012301), we get a palindrome (10343333334301).

The spelling of 10321012322000 in words is "ten trillion, three hundred twenty-one billion, twelve million, three hundred twenty-two thousand".