212000112102001 has 2 divisors, whose sum is σ = 212000112102002. Its totient is φ = 212000112102000.

The previous prime is 212000112101873. The next prime is 212000112102067. The reversal of 212000112102001 is 100201211000212.

212000112102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184727485919601 + 27272626182400 = 13591449^2 + 5222320^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000112102001 - 2⁷ = 212000112101873 is a prime.

It is not a weakly prime, because it can be changed into another prime (212000112102071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000056051000 + 106000056051001.

It is an arithmetic number, because the mean of its divisors is an integer number (106000056051001).

Almost surely, 2^{212000112102001} is an apocalyptic number.

It is an amenable number.

212000112102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000112102001 is an equidigital number, since it uses as much as digits as its factorization.

212000112102001 is an evil number, because the sum of its binary digits is even.

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

Adding to 212000112102001 its reverse (100201211000212), we get a palindrome (312201323102213).

The spelling of 212000112102001 in words is "two hundred twelve trillion, one hundred twelve million, one hundred two thousand, one".