100201313221 has 2 divisors, whose sum is σ = 100201313222. Its totient is φ = 100201313220.

The previous prime is 100201313161. The next prime is 100201313269. The reversal of 100201313221 is 122313102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95209890721 + 4991422500 = 308561^2 + 70650^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201313221 - 2¹⁷ = 100201182149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201313195 and 100201313204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201313291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100656610 + 50100656611.

It is an arithmetic number, because the mean of its divisors is an integer number (50100656611).

Almost surely, 2^100201313221 is an apocalyptic number.

It is an amenable number.

100201313221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201313221 is an equidigital number, since it uses as much as digits as its factorization.

100201313221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100201313221 its reverse (122313102001), we get a palindrome (222514415222).

The spelling of 100201313221 in words is "one hundred billion, two hundred one million, three hundred thirteen thousand, two hundred twenty-one".