2100212002001 has 2 divisors, whose sum is σ = 2100212002002. Its totient is φ = 2100212002000.

The previous prime is 2100212001961. The next prime is 2100212002003. The reversal of 2100212002001 is 1002002120012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2037901857601 + 62310144400 = 1427551^2 + 249620^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100212002001 - 2¹⁰ = 2100212000977 is a prime.

Together with 2100212002003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2100212002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050106001000 + 1050106001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106001001).

Almost surely, 2^{2100212002001} is an apocalyptic number.

It is an amenable number.

2100212002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100212002001 is an equidigital number, since it uses as much as digits as its factorization.

2100212002001 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 11.

Adding to 2100212002001 its reverse (1002002120012), we get a palindrome (3102214122013).

The spelling of 2100212002001 in words is "two trillion, one hundred billion, two hundred twelve million, two thousand, one".