22112120211101 has 2 divisors, whose sum is σ = 22112120211102. Its totient is φ = 22112120211100.

The previous prime is 22112120211089. The next prime is 22112120211113. The reversal of 22112120211101 is 10111202121122.

It is a balanced prime because it is at equal distance from previous prime (22112120211089) and next prime (22112120211113).

It can be written as a sum of positive squares in only one way, i.e., 17731257722500 + 4380862488601 = 4210850^2 + 2093051^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112120211101 - 2¹⁰ = 22112120210077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22112120211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112120211151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056060105550 + 11056060105551.

It is an arithmetic number, because the mean of its divisors is an integer number (11056060105551).

Almost surely, 2^{22112120211101} is an apocalyptic number.

It is an amenable number.

22112120211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112120211101 is an equidigital number, since it uses as much as digits as its factorization.

22112120211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22112120211101 its reverse (10111202121122), we get a palindrome (32223322332223).

The spelling of 22112120211101 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty million, two hundred eleven thousand, one hundred one".