10221221120200 has 48 divisors (see below), whose sum is σ = 23764572334980. Its totient is φ = 4088448322560.

The previous prime is 10221221120197. The next prime is 10221221120237. The reversal of 10221221120200 is 202112212201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6612581392036 + 3608639728164 = 2571494^2 + 1899642^2 .

It is a super-2 number, since 2×10221221120200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28263724 + ... + 28623076.

Almost surely, 2^{10221221120200} is an apocalyptic number.

10221221120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221221120200 is an abundant number, since it is smaller than the sum of its proper divisors (13543351214780).

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

10221221120200 is a wasteful number, since it uses less digits than its factorization.

10221221120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501586 (or 501577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221221120200 its reverse (202112212201), we get a palindrome (10423333332401).

The spelling of 10221221120200 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".