212101201212101 has 2 divisors, whose sum is σ = 212101201212102. Its totient is φ = 212101201212100.

The previous prime is 212101201212067. The next prime is 212101201212161. The reversal of 212101201212101 is 101212102101212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144470808199201 + 67630393012900 = 12019601^2 + 8223770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212101201212101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212101201212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212101201212161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050600606050 + 106050600606051.

It is an arithmetic number, because the mean of its divisors is an integer number (106050600606051).

Almost surely, 2^{212101201212101} is an apocalyptic number.

It is an amenable number.

212101201212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101201212101 is an equidigital number, since it uses as much as digits as its factorization.

212101201212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212101201212101 its reverse (101212102101212), we get a palindrome (313313303313313).

The spelling of 212101201212101 in words is "two hundred twelve trillion, one hundred one billion, two hundred one million, two hundred twelve thousand, one hundred one".