101414230003201 has 2 divisors, whose sum is σ = 101414230003202. Its totient is φ = 101414230003200.

The previous prime is 101414230003199. The next prime is 101414230003211. The reversal of 101414230003201 is 102300032414101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99619163283600 + 1795066719601 = 9980940^2 + 1339801^2 .

It is an emirp because it is prime and its reverse (102300032414101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101414230003201 - 2¹ = 101414230003199 is a prime.

Together with 101414230003199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101414230003211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50707115001600 + 50707115001601.

It is an arithmetic number, because the mean of its divisors is an integer number (50707115001601).

Almost surely, 2^{101414230003201} is an apocalyptic number.

It is an amenable number.

101414230003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101414230003201 is an equidigital number, since it uses as much as digits as its factorization.

101414230003201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101414230003201 its reverse (102300032414101), we get a palindrome (203714262417302).

The spelling of 101414230003201 in words is "one hundred one trillion, four hundred fourteen billion, two hundred thirty million, three thousand, two hundred one".