221424201311201 has 24 divisors (see below), whose sum is σ = 257893060127976. Its totient is φ = 189557995011840.

The previous prime is 221424201311167. The next prime is 221424201311227. The reversal of 221424201311201 is 102113102424122.

221424201311201 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 11548279772176 + 209875921539025 = 3398276^2 + 14487095^2 .

It is not a de Polignac number, because 221424201311201 - 2¹⁸ = 221424201049057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221424201311231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161161421 + ... + 162529541.

It is an arithmetic number, because the mean of its divisors is an integer number (10745544171999).

Almost surely, 2^{221424201311201} is an apocalyptic number.

It is an amenable number.

221424201311201 is a deficient number, since it is larger than the sum of its proper divisors (36468858816775).

221424201311201 is a wasteful number, since it uses less digits than its factorization.

221424201311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372209 (or 1372202 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 221424201311201 its reverse (102113102424122), we get a palindrome (323537303735323).

The spelling of 221424201311201 in words is "two hundred twenty-one trillion, four hundred twenty-four billion, two hundred one million, three hundred eleven thousand, two hundred one".