10321102113312 has 192 divisors, whose sum is σ = 28533574460160. Its totient is φ = 3260299198464.

The previous prime is 10321102113299. The next prime is 10321102113313. The reversal of 10321102113312 is 21331120112301.

It is not an unprimeable number, because it can be changed into a prime (10321102113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153936948 + ... + 154003980.

It is an arithmetic number, because the mean of its divisors is an integer number (148612366980).

Almost surely, 2^{10321102113312} is an apocalyptic number.

10321102113312 is a gapful number since it is divisible by the number (12) 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 10321102113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266787230080).

10321102113312 is an abundant number, since it is smaller than the sum of its proper divisors (18212472346848).

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

10321102113312 is a wasteful number, since it uses less digits than its factorization.

10321102113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67715 (or 67707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10321102113312 its reverse (21331120112301), we get a palindrome (31652222225613).

The spelling of 10321102113312 in words is "ten trillion, three hundred twenty-one billion, one hundred two million, one hundred thirteen thousand, three hundred twelve".