100311010201 has 2 divisors, whose sum is σ = 100311010202. Its totient is φ = 100311010200.

The previous prime is 100311010199. The next prime is 100311010229. The reversal of 100311010201 is 102010113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100162755225 + 148254976 = 316485^2 + 12176^2 .

It is an emirp because it is prime and its reverse (102010113001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100311010201 - 2¹ = 100311010199 is a prime.

Together with 100311010199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100311014201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155505100 + 50155505101.

It is an arithmetic number, because the mean of its divisors is an integer number (50155505101).

Almost surely, 2^100311010201 is an apocalyptic number.

It is an amenable number.

100311010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311010201 is an equidigital number, since it uses as much as digits as its factorization.

100311010201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100311010201 its reverse (102010113001), we get a palindrome (202321123202).

The spelling of 100311010201 in words is "one hundred billion, three hundred eleven million, ten thousand, two hundred one".