221660006012100 has 1008 divisors, whose sum is σ = 782952317011200. Its totient is φ = 54253881077760.

The previous prime is 221660006012083. The next prime is 221660006012161. The reversal of 221660006012100 is 1210600066122.

221660006012100 is a `hidden beast` number, since 22 + 16 + 6 + 0 + 0 + 0 + 601 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12248430252 + ... + 12248448348.

Almost surely, 2^{221660006012100} is an apocalyptic number.

221660006012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221660006012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391476158505600).

221660006012100 is an abundant number, since it is smaller than the sum of its proper divisors (561292310999100).

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

221660006012100 is a wasteful number, since it uses less digits than its factorization.

221660006012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18424 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 221660006012100 its reverse (1210600066122), we get a palindrome (222870606078222).

The spelling of 221660006012100 in words is "two hundred twenty-one trillion, six hundred sixty billion, six million, twelve thousand, one hundred".