212201011200001 has 2 divisors, whose sum is σ = 212201011200002. Its totient is φ = 212201011200000.

The previous prime is 212201011199923. The next prime is 212201011200067. The reversal of 212201011200001 is 100002110102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211753719097600 + 447292102401 = 14551760^2 + 668799^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201011200001 - 2⁷ = 212201011199873 is a prime.

It is not a weakly prime, because it can be changed into another prime (212201911200001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100505600000 + 106100505600001.

It is an arithmetic number, because the mean of its divisors is an integer number (106100505600001).

Almost surely, 2^{212201011200001} is an apocalyptic number.

It is an amenable number.

212201011200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201011200001 is an equidigital number, since it uses as much as digits as its factorization.

212201011200001 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 13.

Adding to 212201011200001 its reverse (100002110102212), we get a palindrome (312203121302213).

The spelling of 212201011200001 in words is "two hundred twelve trillion, two hundred one billion, eleven million, two hundred thousand, one".