10021201120320 has 448 divisors, whose sum is σ = 35230535746560. Its totient is φ = 2397678796800.

The previous prime is 10021201120291. The next prime is 10021201120363. The reversal of 10021201120320 is 2302110212001.

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 10021201120320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138629146 + ... + 138701414.

It is an arithmetic number, because the mean of its divisors is an integer number (78639588720).

Almost surely, 2^{10021201120320} is an apocalyptic number.

10021201120320 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 10021201120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615267873280).

10021201120320 is an abundant number, since it is smaller than the sum of its proper divisors (25209334626240).

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

10021201120320 is a wasteful number, since it uses less digits than its factorization.

10021201120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72614 (or 72604 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10021201120320 its reverse (2302110212001), we get a palindrome (12323311332321).

The spelling of 10021201120320 in words is "ten trillion, twenty-one billion, two hundred one million, one hundred twenty thousand, three hundred twenty".