10222021303200 has 288 divisors, whose sum is σ = 42251022011520. Its totient is φ = 2336461977600.

The previous prime is 10222021303187. The next prime is 10222021303211. The reversal of 10222021303200 is 230312022201.

10222021303200 is a `hidden beast` number, since 10 + 2 + 2 + 202 + 130 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 33651781 + ... + 33954180.

It is an arithmetic number, because the mean of its divisors is an integer number (146704937540).

Almost surely, 2^{10222021303200} is an apocalyptic number.

10222021303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222021303200 is an abundant number, since it is smaller than the sum of its proper divisors (32029000708320).

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

10222021303200 is a wasteful number, since it uses less digits than its factorization.

10222021303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67605997 (or 67605978 counting only the distinct ones).

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

Adding to 10222021303200 its reverse (230312022201), we get a palindrome (10452333325401).

The spelling of 10222021303200 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, three hundred three thousand, two hundred".