1012102320000 has 320 divisors, whose sum is σ = 3475286614800. Its totient is φ = 260585472000.

The previous prime is 1012102319989. The next prime is 1012102320007. The reversal of 1012102320000 is 232012101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1012102320000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012102320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6887292 + ... + 7032708.

Almost surely, 2^{1012102320000} is an apocalyptic number.

1012102320000 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 1012102320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737643307400).

1012102320000 is an abundant number, since it is smaller than the sum of its proper divisors (2463184294800).

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

1012102320000 is an equidigital number, since it uses as much as digits as its factorization.

1012102320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145483 (or 145456 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1012102320000 its reverse (232012101), we get a palindrome (1012334332101).

The spelling of 1012102320000 in words is "one trillion, twelve billion, one hundred two million, three hundred twenty thousand".