221221100200012 has 96 divisors (see below), whose sum is σ = 428353485880320. Its totient is φ = 99958618267200.

The previous prime is 221221100199947. The next prime is 221221100200033. The reversal of 221221100200012 is 210002001122122.

It is a happy number.

It is a super-3 number, since 3×221221100200012³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726408718 + ... + 726713194.

It is an arithmetic number, because the mean of its divisors is an integer number (4462015477920).

Almost surely, 2^{221221100200012} is an apocalyptic number.

221221100200012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221221100200012 is a deficient number, since it is larger than the sum of its proper divisors (207132385680308).

221221100200012 is a wasteful number, since it uses less digits than its factorization.

221221100200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305324 (or 305300 counting only the distinct ones).

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

Adding to 221221100200012 its reverse (210002001122122), we get a palindrome (431223101322134).

The spelling of 221221100200012 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred million, two hundred thousand, twelve".