101211211100213 has 2 divisors, whose sum is σ = 101211211100214. Its totient is φ = 101211211100212.

The previous prime is 101211211100177. The next prime is 101211211100257. The reversal of 101211211100213 is 312001112112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100553202974884 + 658008125329 = 10027622^2 + 811177^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211211100213 - 2¹⁸ = 101211210838069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211211100191 and 101211211100200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211211100513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605605550106 + 50605605550107.

It is an arithmetic number, because the mean of its divisors is an integer number (50605605550107).

Almost surely, 2^{101211211100213} is an apocalyptic number.

It is an amenable number.

101211211100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211211100213 is an equidigital number, since it uses as much as digits as its factorization.

101211211100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 101211211100213 its reverse (312001112112101), we get a palindrome (413212323212314).

The spelling of 101211211100213 in words is "one hundred one trillion, two hundred eleven billion, two hundred eleven million, one hundred thousand, two hundred thirteen".