2121102101213 has 2 divisors, whose sum is σ = 2121102101214. Its totient is φ = 2121102101212.

The previous prime is 2121102101179. The next prime is 2121102101221. The reversal of 2121102101213 is 3121012011212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1834472498329 + 286629602884 = 1354427^2 + 535378^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121102101213 - 2³⁴ = 2103922232029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121102101191 and 2121102101200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121102100213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551050606 + 1060551050607.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551050607).

Almost surely, 2^{2121102101213} is an apocalyptic number.

It is an amenable number.

2121102101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102101213 is an equidigital number, since it uses as much as digits as its factorization.

2121102101213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2121102101213 its reverse (3121012011212), we get a palindrome (5242114112425).

Subtracting 2121102101213 from its reverse (3121012011212), we obtain a palindrome (999909909999).

The spelling of 2121102101213 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, two hundred thirteen".