10021210224300 has 216 divisors, whose sum is σ = 34287922901232. Its totient is φ = 2427863040000.

The previous prime is 10021210224299. The next prime is 10021210224317. The reversal of 10021210224300 is 342201212001.

It is a happy number.

10021210224300 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 210 + 22 + 430 + 0 = 666.

It is a super-2 number, since 2×10021210224300² (a number of 27 digits) contains 22 as substring.

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

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, 15533772 + ... + 16166028.

It is an arithmetic number, because the mean of its divisors is an integer number (158740383802).

Almost surely, 2^{10021210224300} is an apocalyptic number.

10021210224300 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 10021210224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143961450616).

10021210224300 is an abundant number, since it is smaller than the sum of its proper divisors (24266712676932).

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

10021210224300 is a wasteful number, since it uses less digits than its factorization.

10021210224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633889 (or 633879 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10021210224300 its reverse (342201212001), we get a palindrome (10363411436301).

The spelling of 10021210224300 in words is "ten trillion, twenty-one billion, two hundred ten million, two hundred twenty-four thousand, three hundred".