212111011210001 has 2 divisors, whose sum is σ = 212111011210002. Its totient is φ = 212111011210000.

The previous prime is 212111011209997. The next prime is 212111011210061. The reversal of 212111011210001 is 100012110111212.

212111011210001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109099696206400 + 103011315003601 = 10445080^2 + 10149449^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111011210001 - 2² = 212111011209997 is a prime.

It is a super-2 number, since 2×212111011210001² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212111011210061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055505605000 + 106055505605001.

It is an arithmetic number, because the mean of its divisors is an integer number (106055505605001).

Almost surely, 2^{212111011210001} is an apocalyptic number.

It is an amenable number.

212111011210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111011210001 is an equidigital number, since it uses as much as digits as its factorization.

212111011210001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212111011210001 its reverse (100012110111212), we get a palindrome (312123121321213).

The spelling of 212111011210001 in words is "two hundred twelve trillion, one hundred eleven billion, eleven million, two hundred ten thousand, one".