22121102212193 has 2 divisors, whose sum is σ = 22121102212194. Its totient is φ = 22121102212192.

The previous prime is 22121102212103. The next prime is 22121102212249. The reversal of 22121102212193 is 39121220112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18821818681744 + 3299283530449 = 4338412^2 + 1816393^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121102212193 - 2²⁸ = 22120833776737 is a prime.

It is not a weakly prime, because it can be changed into another prime (22121102212103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060551106096 + 11060551106097.

It is an arithmetic number, because the mean of its divisors is an integer number (11060551106097).

Almost surely, 2^{22121102212193} is an apocalyptic number.

It is an amenable number.

22121102212193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121102212193 is an equidigital number, since it uses as much as digits as its factorization.

22121102212193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 22121102212193 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, two hundred twelve thousand, one hundred ninety-three".