212211112000001 has 2 divisors, whose sum is σ = 212211112000002. Its totient is φ = 212211112000000.

The previous prime is 212211111999989. The next prime is 212211112000007. The reversal of 212211112000001 is 100000211112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131890065235600 + 80321046764401 = 11484340^2 + 8962201^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211112000001 - 2²⁶ = 212211044891137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212211112000001.

It is not a weakly prime, because it can be changed into another prime (212211112000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105556000000 + 106105556000001.

It is an arithmetic number, because the mean of its divisors is an integer number (106105556000001).

Almost surely, 2^{212211112000001} is an apocalyptic number.

It is an amenable number.

212211112000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211112000001 is an equidigital number, since it uses as much as digits as its factorization.

212211112000001 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 14.

Adding to 212211112000001 its reverse (100000211112212), we get a palindrome (312211323112213).

The spelling of 212211112000001 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twelve million, one", and thus it is an aban number.