221465301201 has 15 divisors (see below), whose sum is σ = 330837209131. Its totient is φ = 147640710528.

The previous prime is 221465301179. The next prime is 221465301221. The reversal of 221465301201 is 102103564122.

The square root of 221465301201 is 470601.

It is a perfect power (a square), and thus also a powerful number.

221465301201 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 530 + 120 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94957038801 + 126508262400 = 308151^2 + 355680^2 .

It is not a de Polignac number, because 221465301201 - 2²⁷ = 221331083473 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221465301221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4209265 + ... + 4261553.

Almost surely, 2^221465301201 is an apocalyptic number.

221465301201 is the 470601-st square number.

221465301201 is the 235301-st centered octagonal number.

It is an amenable number.

221465301201 is a deficient number, since it is larger than the sum of its proper divisors (109371907930).

221465301201 is an frugal number, since it uses more digits than its factorization.

221465301201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104590 (or 52292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 221465301201 its reverse (102103564122), we get a palindrome (323568865323).

The spelling of 221465301201 in words is "two hundred twenty-one billion, four hundred sixty-five million, three hundred one thousand, two hundred one".