212210002100101 has 2 divisors, whose sum is σ = 212210002100102. Its totient is φ = 212210002100100.

The previous prime is 212210002100093. The next prime is 212210002100191. The reversal of 212210002100101 is 101001200012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185249140111876 + 26960861988225 = 13610626^2 + 5192385^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210002100101 - 2³ = 212210002100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212210002100191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105001050050 + 106105001050051.

It is an arithmetic number, because the mean of its divisors is an integer number (106105001050051).

Almost surely, 2^{212210002100101} is an apocalyptic number.

It is an amenable number.

212210002100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210002100101 is an equidigital number, since it uses as much as digits as its factorization.

212210002100101 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 13.

Adding to 212210002100101 its reverse (101001200012212), we get a palindrome (313211202112313).

The spelling of 212210002100101 in words is "two hundred twelve trillion, two hundred ten billion, two million, one hundred thousand, one hundred one".