212012012001001 has 2 divisors, whose sum is σ = 212012012001002. Its totient is φ = 212012012001000.

The previous prime is 212012012000983. The next prime is 212012012001017. The reversal of 212012012001001 is 100100210210212.

212012012001001 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., 211136011470400 + 876000530601 = 14530520^2 + 935949^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012012001001 - 2¹¹ = 212012011998953 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012012001901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006006000500 + 106006006000501.

It is an arithmetic number, because the mean of its divisors is an integer number (106006006000501).

Almost surely, 2^{212012012001001} is an apocalyptic number.

It is an amenable number.

212012012001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012012001001 is an equidigital number, since it uses as much as digits as its factorization.

212012012001001 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 212012012001001 its reverse (100100210210212), we get a palindrome (312112222211213).

The spelling of 212012012001001 in words is "two hundred twelve trillion, twelve billion, twelve million, one thousand, one".