2122101200213 has 2 divisors, whose sum is σ = 2122101200214. Its totient is φ = 2122101200212.

The previous prime is 2122101200201. The next prime is 2122101200269. The reversal of 2122101200213 is 3120021012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1590365643409 + 531735556804 = 1261097^2 + 729202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122101200213 - 2⁸ = 2122101199957 is a prime.

It is a super-2 number, since 2×2122101200213² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122101200191 and 2122101200200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122101200293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050600106 + 1061050600107.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050600107).

Almost surely, 2^{2122101200213} is an apocalyptic number.

It is an amenable number.

2122101200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101200213 is an equidigital number, since it uses as much as digits as its factorization.

2122101200213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2122101200213 its reverse (3120021012212), we get a palindrome (5242122212425).

The spelling of 2122101200213 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, two hundred thirteen".