102112002010021 has 2 divisors, whose sum is σ = 102112002010022. Its totient is φ = 102112002010020.

The previous prime is 102112002010019. The next prime is 102112002010159. The reversal of 102112002010021 is 120010200211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92831509977921 + 9280492032100 = 9634911^2 + 3046390^2 .

It is an emirp because it is prime and its reverse (120010200211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102112002010021 - 2¹ = 102112002010019 is a prime.

Together with 102112002010019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102112002009983 and 102112002010010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112002010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056001005010 + 51056001005011.

It is an arithmetic number, because the mean of its divisors is an integer number (51056001005011).

Almost surely, 2^{102112002010021} is an apocalyptic number.

It is an amenable number.

102112002010021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112002010021 is an equidigital number, since it uses as much as digits as its factorization.

102112002010021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112002010021 its reverse (120010200211201), we get a palindrome (222122202221222).

The spelling of 102112002010021 in words is "one hundred two trillion, one hundred twelve billion, two million, ten thousand, twenty-one".