221221210112100 has 288 divisors, whose sum is σ = 779168228791680. Its totient is φ = 53399213568000.

The previous prime is 221221210112083. The next prime is 221221210112219. The reversal of 221221210112100 is 1211012122122.

221221210112100 is a `hidden beast` number, since 2 + 21 + 221 + 210 + 1 + 1 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9063861 + ... + 22904060.

It is an arithmetic number, because the mean of its divisors is an integer number (2705445238860).

Almost surely, 2^{221221210112100} is an apocalyptic number.

221221210112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221210112100 is an abundant number, since it is smaller than the sum of its proper divisors (557947018679580).

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

221221210112100 is a wasteful number, since it uses less digits than its factorization.

221221210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31968188 (or 31968175 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221221210112100 its reverse (1211012122122), we get a palindrome (222432222234222).

The spelling of 221221210112100 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred".