101112020021 has 2 divisors, whose sum is σ = 101112020022. Its totient is φ = 101112020020.

The previous prime is 101112020017. The next prime is 101112020029. The reversal of 101112020021 is 120020211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62643081796 + 38468938225 = 250286^2 + 196135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112020021 - 2² = 101112020017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112019984 and 101112020011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112020029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556010010 + 50556010011.

It is an arithmetic number, because the mean of its divisors is an integer number (50556010011).

Almost surely, 2^101112020021 is an apocalyptic number.

It is an amenable number.

101112020021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112020021 is an equidigital number, since it uses as much as digits as its factorization.

101112020021 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 11.

Adding to 101112020021 its reverse (120020211101), we get a palindrome (221132231122).

The spelling of 101112020021 in words is "one hundred one billion, one hundred twelve million, twenty thousand, twenty-one".