210002010112121 has 2 divisors, whose sum is σ = 210002010112122. Its totient is φ = 210002010112120.

The previous prime is 210002010112091. The next prime is 210002010112123. The reversal of 210002010112121 is 121211010200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121040593404025 + 88961416708096 = 11001845^2 + 9431936^2 .

It is a cyclic number.

It is not a de Polignac number, because 210002010112121 - 2⁶ = 210002010112057 is a prime.

It is a super-2 number, since 2×210002010112121² (a number of 29 digits) contains 22 as substring.

Together with 210002010112123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 210002010112096 and 210002010112105.

It is not a weakly prime, because it can be changed into another prime (210002010112123) 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, 105001005056060 + 105001005056061.

It is an arithmetic number, because the mean of its divisors is an integer number (105001005056061).

Almost surely, 2^{210002010112121} is an apocalyptic number.

It is an amenable number.

210002010112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002010112121 is an equidigital number, since it uses as much as digits as its factorization.

210002010112121 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 14.

Adding to 210002010112121 its reverse (121211010200012), we get a palindrome (331213020312133).

The spelling of 210002010112121 in words is "two hundred ten trillion, two billion, ten million, one hundred twelve thousand, one hundred twenty-one".