221421255241300 has 288 divisors, whose sum is σ = 494525143365120. Its totient is φ = 86026375680000.

The previous prime is 221421255241223. The next prime is 221421255241301. The reversal of 221421255241300 is 3142552124122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221421255241301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92995066110 + ... + 92995068490.

It is an arithmetic number, because the mean of its divisors is an integer number (1717101192240).

Almost surely, 2^{221421255241300} is an apocalyptic number.

221421255241300 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 221421255241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247262571682560).

221421255241300 is an abundant number, since it is smaller than the sum of its proper divisors (273103888123820).

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

221421255241300 is a wasteful number, since it uses less digits than its factorization.

221421255241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 221421255241300 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred fifty-five million, two hundred forty-one thousand, three hundred".