100201412341321 has 2 divisors, whose sum is σ = 100201412341322. Its totient is φ = 100201412341320.

The previous prime is 100201412341319. The next prime is 100201412341343. The reversal of 100201412341321 is 123143214102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69878548516921 + 30322863824400 = 8359339^2 + 5506620^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201412341321 - 2¹ = 100201412341319 is a prime.

Together with 100201412341319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100201412341721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100706170660 + 50100706170661.

It is an arithmetic number, because the mean of its divisors is an integer number (50100706170661).

Almost surely, 2^{100201412341321} is an apocalyptic number.

It is an amenable number.

100201412341321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201412341321 is an equidigital number, since it uses as much as digits as its factorization.

100201412341321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 100201412341321 its reverse (123143214102001), we get a palindrome (223344626443322).

The spelling of 100201412341321 in words is "one hundred trillion, two hundred one billion, four hundred twelve million, three hundred forty-one thousand, three hundred twenty-one".