10221312000300 has 144 divisors (see below), whose sum is σ = 29658578292000. Its totient is φ = 2717864755200.

The previous prime is 10221312000283. The next prime is 10221312000337. The reversal of 10221312000300 is 300021312201.

10221312000300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221312000300.

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, 216708720 + ... + 216755880.

It is an arithmetic number, because the mean of its divisors is an integer number (205962349250).

Almost surely, 2^{10221312000300} is an apocalyptic number.

10221312000300 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 10221312000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829289146000).

10221312000300 is an abundant number, since it is smaller than the sum of its proper divisors (19437266291700).

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

10221312000300 is a wasteful number, since it uses less digits than its factorization.

10221312000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49236 (or 49229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10221312000300 its reverse (300021312201), we get a palindrome (10521333312501).

The spelling of 10221312000300 in words is "ten trillion, two hundred twenty-one billion, three hundred twelve million, three hundred", and thus it is an aban number.