221221310111100 has 216 divisors, whose sum is σ = 754138339473792. Its totient is φ = 53915322816000.

The previous prime is 221221310111071. The next prime is 221221310111111. The reversal of 221221310111100 is 1111013122122.

It is a happy number.

221221310111100 is a `hidden beast` number, since 2 + 21 + 221 + 310 + 1 + 1 + 110 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92421292 + ... + 94784691.

Almost surely, 2^{221221310111100} is an apocalyptic number.

221221310111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221310111100 is an abundant number, since it is smaller than the sum of its proper divisors (532917029362692).

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

221221310111100 is a wasteful number, since it uses less digits than its factorization.

221221310111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187206117 (or 187206107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 221221310111100 its reverse (1111013122122), we get a palindrome (222332323233222).

The spelling of 221221310111100 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred ten million, one hundred eleven thousand, one hundred".