212212102200101 has 2 divisors, whose sum is σ = 212212102200102. Its totient is φ = 212212102200100.

The previous prime is 212212102200097. The next prime is 212212102200139. The reversal of 212212102200101 is 101002201212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162199964850625 + 50012137349476 = 12735775^2 + 7071926^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212102200101 - 2² = 212212102200097 is a prime.

It is a super-2 number, since 2×212212102200101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212212102200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212212102200191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106051100050 + 106106051100051.

It is an arithmetic number, because the mean of its divisors is an integer number (106106051100051).

Almost surely, 2^{212212102200101} is an apocalyptic number.

It is an amenable number.

212212102200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212102200101 is an equidigital number, since it uses as much as digits as its factorization.

212212102200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212212102200101 its reverse (101002201212212), we get a palindrome (313214303412313).

The spelling of 212212102200101 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred two million, two hundred thousand, one hundred one".