10020201340320 has 384 divisors, whose sum is σ = 36613372723200. Its totient is φ = 2554630493184.

The previous prime is 10020201340249. The next prime is 10020201340333. The reversal of 10020201340320 is 2304310202001.

10020201340320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 2 + 0 + 1 + 340 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10020201340293 and 10020201340302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212904951 + ... + 212952009.

It is an arithmetic number, because the mean of its divisors is an integer number (95347324800).

Almost surely, 2^{10020201340320} is an apocalyptic number.

10020201340320 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 10020201340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306686361600).

10020201340320 is an abundant number, since it is smaller than the sum of its proper divisors (26593171382880).

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

10020201340320 is a wasteful number, since it uses less digits than its factorization.

10020201340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49249 (or 49235 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10020201340320 its reverse (2304310202001), we get a palindrome (12324511542321).

The spelling of 10020201340320 in words is "ten trillion, twenty billion, two hundred one million, three hundred forty thousand, three hundred twenty".