100201020221213 has 2 divisors, whose sum is σ = 100201020221214. Its totient is φ = 100201020221212.

The previous prime is 100201020221083. The next prime is 100201020221231. The reversal of 100201020221213 is 312122020102001.

Together with next prime (100201020221231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60498948503449 + 39702071717764 = 7778107^2 + 6300958^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201020221213 - 2⁸ = 100201020220957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201020221191 and 100201020221200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201020221293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100510110606 + 50100510110607.

It is an arithmetic number, because the mean of its divisors is an integer number (50100510110607).

Almost surely, 2^{100201020221213} is an apocalyptic number.

It is an amenable number.

100201020221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201020221213 is an equidigital number, since it uses as much as digits as its factorization.

100201020221213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100201020221213 its reverse (312122020102001), we get a palindrome (412323040323214).

The spelling of 100201020221213 in words is "one hundred trillion, two hundred one billion, twenty million, two hundred twenty-one thousand, two hundred thirteen".