221021300240 has 40 divisors (see below), whose sum is σ = 553403335128. Its totient is φ = 81607864320.

The previous prime is 221021300233. The next prime is 221021300249. The reversal of 221021300240 is 42003120122.

221021300240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8581428496 + 212439871744 = 92636^2 + 460912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (221021300249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106259201 + ... + 106261280.

Almost surely, 2^221021300240 is an apocalyptic number.

221021300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021300240 is an abundant number, since it is smaller than the sum of its proper divisors (332382034888).

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

221021300240 is a wasteful number, since it uses less digits than its factorization.

221021300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212520507 (or 212520501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 221021300240 its reverse (42003120122), we get a palindrome (263024420362).

The spelling of 221021300240 in words is "two hundred twenty-one billion, twenty-one million, three hundred thousand, two hundred forty".