10221211220200 has 48 divisors (see below), whose sum is σ = 23774681007180. Its totient is φ = 4086701276160.

The previous prime is 10221211220197. The next prime is 10221211220219. The reversal of 10221211220200 is 202211212201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6539057036964 + 3682154183236 = 2557158^2 + 1918894^2 .

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, 10685329 + ... + 11602528.

Almost surely, 2^{10221211220200} is an apocalyptic number.

10221211220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221211220200 is an abundant number, since it is smaller than the sum of its proper divisors (13553469786980).

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

10221211220200 is a wasteful number, since it uses less digits than its factorization.

10221211220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290166 (or 22290157 counting only the distinct ones).

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

Adding to 10221211220200 its reverse (202211212201), we get a palindrome (10423422432401).

The spelling of 10221211220200 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, two hundred".