100020112021 has 2 divisors, whose sum is σ = 100020112022. Its totient is φ = 100020112020.

The previous prime is 100020112019. The next prime is 100020112043. The reversal of 100020112021 is 120211020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87563319921 + 12456792100 = 295911^2 + 111610^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020112021 - 2¹ = 100020112019 is a prime.

Together with 100020112019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100020111989 and 100020112007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010056010 + 50010056011.

It is an arithmetic number, because the mean of its divisors is an integer number (50010056011).

Almost surely, 2^100020112021 is an apocalyptic number.

It is an amenable number.

100020112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020112021 is an equidigital number, since it uses as much as digits as its factorization.

100020112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020112021 its reverse (120211020001), we get a palindrome (220231132022).

The spelling of 100020112021 in words is "one hundred billion, twenty million, one hundred twelve thousand, twenty-one".