221241010442100 has 144 divisors (see below), whose sum is σ = 698355428183616. Its totient is φ = 53631239040000.

The previous prime is 221241010442069. The next prime is 221241010442113. The reversal of 221241010442100 is 1244010142122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58561632 + ... + 62224968.

Almost surely, 2^{221241010442100} is an apocalyptic number.

221241010442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221241010442100 is an abundant number, since it is smaller than the sum of its proper divisors (477114417741516).

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

221241010442100 is a wasteful number, since it uses less digits than its factorization.

221241010442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681666 (or 3681659 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 221241010442100 its reverse (1244010142122), we get a palindrome (222485020584222).

The spelling of 221241010442100 in words is "two hundred twenty-one trillion, two hundred forty-one billion, ten million, four hundred forty-two thousand, one hundred".