1101101022193 has 2 divisors, whose sum is σ = 1101101022194. Its totient is φ = 1101101022192.

The previous prime is 1101101022191. The next prime is 1101101022223. The reversal of 1101101022193 is 3912201011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 949517722624 + 151583299569 = 974432^2 + 389337^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101101022193 - 2¹ = 1101101022191 is a prime.

It is a super-2 number, since 2×1101101022193² (a number of 25 digits) contains 22 as substring.

Together with 1101101022191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1101101022191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550511096 + 550550511097.

It is an arithmetic number, because the mean of its divisors is an integer number (550550511097).

Almost surely, 2^{1101101022193} is an apocalyptic number.

It is an amenable number.

1101101022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101022193 is an equidigital number, since it uses as much as digits as its factorization.

1101101022193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 1101101022193 in words is "one trillion, one hundred one billion, one hundred one million, twenty-two thousand, one hundred ninety-three".