10122343403300 has 216 divisors, whose sum is σ = 24386749398144. Its totient is φ = 3639290716160.

The previous prime is 10122343403287. The next prime is 10122343403357. The reversal of 10122343403300 is 330434322101.

10122343403300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10122343403300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 430049132 + ... + 430072668.

It is an arithmetic number, because the mean of its divisors is an integer number (112901617584).

Almost surely, 2^{10122343403300} is an apocalyptic number.

10122343403300 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 10122343403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193374699072).

10122343403300 is an abundant number, since it is smaller than the sum of its proper divisors (14264405994844).

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

10122343403300 is a wasteful number, since it uses less digits than its factorization.

10122343403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24255 (or 24231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 10122343403300 its reverse (330434322101), we get a palindrome (10452777725401).

The spelling of 10122343403300 in words is "ten trillion, one hundred twenty-two billion, three hundred forty-three million, four hundred three thousand, three hundred".