2100212005121 has 2 divisors, whose sum is σ = 2100212005122. Its totient is φ = 2100212005120.

The previous prime is 2100212005109. The next prime is 2100212005147. The reversal of 2100212005121 is 1215002120012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2053959050896 + 46252954225 = 1433164^2 + 215065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100212005121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100212005121.

It is not a weakly prime, because it can be changed into another prime (2100212005621) 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, 1050106002560 + 1050106002561.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106002561).

Almost surely, 2^{2100212005121} is an apocalyptic number.

It is an amenable number.

2100212005121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100212005121 is an equidigital number, since it uses as much as digits as its factorization.

2100212005121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 2100212005121 its reverse (1215002120012), we get a palindrome (3315214125133).

The spelling of 2100212005121 in words is "two trillion, one hundred billion, two hundred twelve million, five thousand, one hundred twenty-one".