101121322213 has 2 divisors, whose sum is σ = 101121322214. Its totient is φ = 101121322212.

The previous prime is 101121322201. The next prime is 101121322229. The reversal of 101121322213 is 312223121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76750053444 + 24371268769 = 277038^2 + 156113^2 .

It is an emirp because it is prime and its reverse (312223121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101121322213 - 2³³ = 92531387621 is a prime.

It is a super-2 number, since 2×101121322213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121322243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560661106 + 50560661107.

It is an arithmetic number, because the mean of its divisors is an integer number (50560661107).

Almost surely, 2^101121322213 is an apocalyptic number.

It is an amenable number.

101121322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121322213 is an equidigital number, since it uses as much as digits as its factorization.

101121322213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101121322213 its reverse (312223121101), we get a palindrome (413344443314).

The spelling of 101121322213 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred thirteen".