212200102121 has 12 divisors (see below), whose sum is σ = 247169429460. Its totient is φ = 181646760960.

The previous prime is 212200102117. The next prime is 212200102157. The reversal of 212200102121 is 121201002212.

It can be written as a sum of positive squares in 2 ways, for example, as 56554071721 + 155646030400 = 237811^2 + 394520^2 .

It is not a de Polignac number, because 212200102121 - 2² = 212200102117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212200102096 and 212200102105.

It is not an unprimeable number, because it can be changed into a prime (212200102111) 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 in 11 ways as a sum of consecutive naturals, for example, 2808056 + ... + 2882633.

It is an arithmetic number, because the mean of its divisors is an integer number (20597452455).

Almost surely, 2^212200102121 is an apocalyptic number.

It is an amenable number.

212200102121 is a deficient number, since it is larger than the sum of its proper divisors (34969327339).

212200102121 is an equidigital number, since it uses as much as digits as its factorization.

212200102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691464 (or 5691457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212200102121 its reverse (121201002212), we get a palindrome (333401104333).

Subtracting from 212200102121 its reverse (121201002212), we obtain a palindrome (90999099909).

The spelling of 212200102121 in words is "two hundred twelve billion, two hundred million, one hundred two thousand, one hundred twenty-one".