214004100321 has 24 divisors (see below), whose sum is σ = 337298981760. Its totient is φ = 129668532000.

The previous prime is 214004100301. The next prime is 214004100367. The reversal of 214004100321 is 123001400412.

It is not a de Polignac number, because 214004100321 - 2³³ = 205414165729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214004100294 and 214004100303.

It is not an unprimeable number, because it can be changed into a prime (214004100301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163096 + ... + 674246.

It is an arithmetic number, because the mean of its divisors is an integer number (14054124240).

Almost surely, 2^214004100321 is an apocalyptic number.

It is an amenable number.

214004100321 is a deficient number, since it is larger than the sum of its proper divisors (123294881439).

214004100321 is a wasteful number, since it uses less digits than its factorization.

214004100321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515397 (or 515394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 214004100321 its reverse (123001400412), we get a palindrome (337005500733).

The spelling of 214004100321 in words is "two hundred fourteen billion, four million, one hundred thousand, three hundred twenty-one".