101222122213 has 2 divisors, whose sum is σ = 101222122214. Its totient is φ = 101222122212.

The previous prime is 101222122193. The next prime is 101222122247. The reversal of 101222122213 is 312221222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58315971169 + 42906151044 = 241487^2 + 207138^2 .

It is an emirp because it is prime and its reverse (312221222101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101222122213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222128213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611061106 + 50611061107.

It is an arithmetic number, because the mean of its divisors is an integer number (50611061107).

Almost surely, 2^101222122213 is an apocalyptic number.

It is an amenable number.

101222122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222122213 is an equidigital number, since it uses as much as digits as its factorization.

101222122213 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 19.

Adding to 101222122213 its reverse (312221222101), we get a palindrome (413443344314).

The spelling of 101222122213 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred thirteen".