10020301200 has 720 divisors, whose sum is σ = 43487633280. Its totient is φ = 2080235520.

The previous prime is 10020301171. The next prime is 10020301237. The reversal of 10020301200 is 210302001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10020301200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23914591 + ... + 23915009.

Almost surely, 2^10020301200 is an apocalyptic number.

10020301200 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 10020301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743816640).

10020301200 is an abundant number, since it is smaller than the sum of its proper divisors (33467332080).

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

10020301200 is a wasteful number, since it uses less digits than its factorization.

10020301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020301200 its reverse (210302001), we get a palindrome (10230603201).

The spelling of 10020301200 in words is "ten billion, twenty million, three hundred one thousand, two hundred".