22122101011193 has 2 divisors, whose sum is σ = 22122101011194. Its totient is φ = 22122101011192.

The previous prime is 22122101011163. The next prime is 22122101011253. The reversal of 22122101011193 is 39111010122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22064035434169 + 58065577024 = 4697237^2 + 240968^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122101011193 - 2²² = 22122096816889 is a prime.

It is a super-3 number, since 3×22122101011193³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22122101011163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061050505596 + 11061050505597.

It is an arithmetic number, because the mean of its divisors is an integer number (11061050505597).

Almost surely, 2^{22122101011193} is an apocalyptic number.

It is an amenable number.

22122101011193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122101011193 is an equidigital number, since it uses as much as digits as its factorization.

22122101011193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 22122101011193 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, one hundred ninety-three".