10221200 has 120 divisors (see below), whose sum is σ = 28230336. Its totient is φ = 3520000.

The previous prime is 10221191. The next prime is 10221203. The reversal of 10221200 is 212201.

10221200 = T₂₄₉ + T₂₅₀ + ... + T₄₂₄.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10221203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 101150 + ... + 101250.

Almost surely, 2^10221200 is an apocalyptic number.

10221200 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 10221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115168).

10221200 is an abundant number, since it is smaller than the sum of its proper divisors (18009136).

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

10221200 is a wasteful number, since it uses less digits than its factorization.

10221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10221200 is about 3197.0611504943. The cubic root of 10221200 is about 217.0204345541.

Adding to 10221200 its reverse (212201), we get a palindrome (10433401).

It can be divided in two parts, 1022 and 1200, that added together give a palindrome (2222).

The spelling of 10221200 in words is "ten million, two hundred twenty-one thousand, two hundred".