22112221200101 has 2 divisors, whose sum is σ = 22112221200102. Its totient is φ = 22112221200100.

The previous prime is 22112221200059. The next prime is 22112221200127. The reversal of 22112221200101 is 10100212221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17508617548900 + 4603603651201 = 4184330^2 + 2145601^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112221200101 - 2³⁴ = 22095041330917 is a prime.

It is a super-3 number, since 3×22112221200101³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22112221200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112221200151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056110600050 + 11056110600051.

It is an arithmetic number, because the mean of its divisors is an integer number (11056110600051).

Almost surely, 2^{22112221200101} is an apocalyptic number.

It is an amenable number.

22112221200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112221200101 is an equidigital number, since it uses as much as digits as its factorization.

22112221200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22112221200101 its reverse (10100212221122), we get a palindrome (32212433421223).

The spelling of 22112221200101 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred thousand, one hundred one".