212131101000321 has 12 divisors (see below), whose sum is σ = 306428204551248. Its totient is φ = 141413065899864.

The previous prime is 212131101000277. The next prime is 212131101000323. The reversal of 212131101000321 is 123000101131212.

212131101000321 is a `hidden beast` number, since 2 + 1 + 21 + 311 + 0 + 10 + 0 + 0 + 321 = 666.

212131101000321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212131101000321 - 2²⁷ = 212130966782593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212131101000294 and 212131101000303.

It is not an unprimeable number, because it can be changed into a prime (212131101000323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638833155 + ... + 639165128.

It is an arithmetic number, because the mean of its divisors is an integer number (25535683712604).

Almost surely, 2^{212131101000321} is an apocalyptic number.

It is an amenable number.

212131101000321 is a deficient number, since it is larger than the sum of its proper divisors (94297103550927).

212131101000321 is a wasteful number, since it uses less digits than its factorization.

212131101000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278016732 (or 1278016729 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212131101000321 its reverse (123000101131212), we get a palindrome (335131202131533).

The spelling of 212131101000321 in words is "two hundred twelve trillion, one hundred thirty-one billion, one hundred one million, three hundred twenty-one", and thus it is an aban number.