22222101012193 has 2 divisors, whose sum is σ = 22222101012194. Its totient is φ = 22222101012192.

The previous prime is 22222101012191. The next prime is 22222101012277. The reversal of 22222101012193 is 39121010122222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19188850338064 + 3033250674129 = 4380508^2 + 1741623^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222101012193 - 2¹ = 22222101012191 is a prime.

It is a super-2 number, since 2×22222101012193² (a number of 27 digits) contains 22 as substring.

Together with 22222101012191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22222101012191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111050506096 + 11111050506097.

It is an arithmetic number, because the mean of its divisors is an integer number (11111050506097).

Almost surely, 2^{22222101012193} is an apocalyptic number.

It is an amenable number.

22222101012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222101012193 is an equidigital number, since it uses as much as digits as its factorization.

22222101012193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 22222101012193 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, one hundred ninety-three".