212201310321 has 96 divisors (see below), whose sum is σ = 429435482112. Its totient is φ = 97330654080.

The previous prime is 212201310317. The next prime is 212201310337. The reversal of 212201310321 is 123013102212.

212201310321 is a `hidden beast` number, since 2 + 12 + 20 + 1 + 310 + 321 = 666.

It is not a de Polignac number, because 212201310321 - 2² = 212201310317 is a prime.

It is a super-2 number, since 2×212201310321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212201310294 and 212201310303.

It is not an unprimeable number, because it can be changed into a prime (212201310121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304845 + ... + 719258.

It is an arithmetic number, because the mean of its divisors is an integer number (4473286272).

Almost surely, 2^212201310321 is an apocalyptic number.

212201310321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212201310321 is an abundant number, since it is smaller than the sum of its proper divisors (217234171791).

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

212201310321 is a wasteful number, since it uses less digits than its factorization.

212201310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024163 (or 1024160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212201310321 its reverse (123013102212), we get a palindrome (335214412533).

The spelling of 212201310321 in words is "two hundred twelve billion, two hundred one million, three hundred ten thousand, three hundred twenty-one".