2121102221233 has 2 divisors, whose sum is σ = 2121102221234. Its totient is φ = 2121102221232.

The previous prime is 2121102221177. The next prime is 2121102221243. The reversal of 2121102221233 is 3321222011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1230819392929 + 890282828304 = 1109423^2 + 943548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121102221233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121102221243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551110616 + 1060551110617.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551110617).

Almost surely, 2^{2121102221233} is an apocalyptic number.

It is an amenable number.

2121102221233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102221233 is an equidigital number, since it uses as much as digits as its factorization.

2121102221233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2121102221233 its reverse (3321222011212), we get a palindrome (5442324232445).

The spelling of 2121102221233 in words is "two trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty-one thousand, two hundred thirty-three".