214142122314401 has 2 divisors, whose sum is σ = 214142122314402. Its totient is φ = 214142122314400.

The previous prime is 214142122314391. The next prime is 214142122314443. The reversal of 214142122314401 is 104413221241412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133539864843025 + 80602257471376 = 11555945^2 + 8977876^2 .

It is a cyclic number.

It is not a de Polignac number, because 214142122314401 - 2³⁸ = 213867244407457 is a prime.

It is not a weakly prime, because it can be changed into another prime (214142122314101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107071061157200 + 107071061157201.

It is an arithmetic number, because the mean of its divisors is an integer number (107071061157201).

Almost surely, 2^{214142122314401} is an apocalyptic number.

It is an amenable number.

214142122314401 is a deficient number, since it is larger than the sum of its proper divisors (1).

214142122314401 is an equidigital number, since it uses as much as digits as its factorization.

214142122314401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 214142122314401 its reverse (104413221241412), we get a palindrome (318555343555813).

The spelling of 214142122314401 in words is "two hundred fourteen trillion, one hundred forty-two billion, one hundred twenty-two million, three hundred fourteen thousand, four hundred one".