221434001210201 has 16 divisors (see below), whose sum is σ = 252495968964624. Its totient is φ = 192376220534784.

The previous prime is 221434001210183. The next prime is 221434001210237. The reversal of 221434001210201 is 102012100434122.

It can be written as a sum of positive squares in 8 ways, for example, as 35263121852176 + 186170879358025 = 5938276^2 + 13644445^2 .

It is not a de Polignac number, because 221434001210201 - 2⁴⁶ = 151065257032537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221434001510201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52249925 + ... + 56328701.

It is an arithmetic number, because the mean of its divisors is an integer number (15780998060289).

Almost surely, 2^{221434001210201} is an apocalyptic number.

It is an amenable number.

221434001210201 is a deficient number, since it is larger than the sum of its proper divisors (31061967754423).

221434001210201 is a wasteful number, since it uses less digits than its factorization.

221434001210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324460.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 221434001210201 its reverse (102012100434122), we get a palindrome (323446101644323).

The spelling of 221434001210201 in words is "two hundred twenty-one trillion, four hundred thirty-four billion, one million, two hundred ten thousand, two hundred one".