101212122121213 has 2 divisors, whose sum is σ = 101212122121214. Its totient is φ = 101212122121212.

The previous prime is 101212122121193. The next prime is 101212122121217. The reversal of 101212122121213 is 312121221212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72404663682649 + 28807458438564 = 8509093^2 + 5367258^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212122121213 - 2¹³ = 101212122113021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212122121217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606061060606 + 50606061060607.

It is an arithmetic number, because the mean of its divisors is an integer number (50606061060607).

Almost surely, 2^{101212122121213} is an apocalyptic number.

It is an amenable number.

101212122121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212122121213 is an equidigital number, since it uses as much as digits as its factorization.

101212122121213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 101212122121213 its reverse (312121221212101), we get a palindrome (413333343333314).

The spelling of 101212122121213 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred thirteen".