10302210300000 has 288 divisors, whose sum is σ = 33855167130624. Its totient is φ = 2742932160000.

The previous prime is 10302210299999. The next prime is 10302210300049. The reversal of 10302210300000 is 301220301.

It is a happy number.

10302210300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10302210300000² (a number of 27 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192873297 + ... + 192926703.

It is an arithmetic number, because the mean of its divisors is an integer number (117552663648).

Almost surely, 2^{10302210300000} is an apocalyptic number.

10302210300000 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 10302210300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927583565312).

10302210300000 is an abundant number, since it is smaller than the sum of its proper divisors (23552956830624).

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

10302210300000 is an frugal number, since it uses more digits than its factorization.

10302210300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54088 (or 54060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10302210300000 its reverse (301220301), we get a palindrome (10302511520301).

The spelling of 10302210300000 in words is "ten trillion, three hundred two billion, two hundred ten million, three hundred thousand".