213444412204101 has 64 divisors (see below), whose sum is σ = 317296842240000. Its totient is φ = 126723466227456.

The previous prime is 213444412204099. The next prime is 213444412204117. The reversal of 213444412204101 is 101402214444312.

It is not a de Polignac number, because 213444412204101 - 2¹ = 213444412204099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213444412204901) 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 63 ways as a sum of consecutive naturals, for example, 10189726110 + ... + 10189747056.

It is an arithmetic number, because the mean of its divisors is an integer number (4957763160000).

Almost surely, 2^{213444412204101} is an apocalyptic number.

It is an amenable number.

213444412204101 is a deficient number, since it is larger than the sum of its proper divisors (103852430035899).

213444412204101 is a wasteful number, since it uses less digits than its factorization.

213444412204101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27498.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 213444412204101 its reverse (101402214444312), we get a palindrome (314846626648413).

The spelling of 213444412204101 in words is "two hundred thirteen trillion, four hundred forty-four billion, four hundred twelve million, two hundred four thousand, one hundred one".