100231312021 has 2 divisors, whose sum is σ = 100231312022. Its totient is φ = 100231312020.

The previous prime is 100231312019. The next prime is 100231312033. The reversal of 100231312021 is 120213132001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98289147121 + 1942164900 = 313511^2 + 44070^2 .

It is an emirp because it is prime and its reverse (120213132001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100231312021 - 2¹ = 100231312019 is a prime.

Together with 100231312019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100231311986 and 100231312004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100231312081) 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, 50115656010 + 50115656011.

It is an arithmetic number, because the mean of its divisors is an integer number (50115656011).

Almost surely, 2^100231312021 is an apocalyptic number.

It is an amenable number.

100231312021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100231312021 is an equidigital number, since it uses as much as digits as its factorization.

100231312021 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 100231312021 its reverse (120213132001), we get a palindrome (220444444022).

The spelling of 100231312021 in words is "one hundred billion, two hundred thirty-one million, three hundred twelve thousand, twenty-one".