22101011100121 has 2 divisors, whose sum is σ = 22101011100122. Its totient is φ = 22101011100120.

The previous prime is 22101011100083. The next prime is 22101011100167. The reversal of 22101011100121 is 12100111010122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20351475810121 + 1749535290000 = 4511261^2 + 1322700^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101011100121 - 2¹¹ = 22101011098073 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101011100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050505550060 + 11050505550061.

It is an arithmetic number, because the mean of its divisors is an integer number (11050505550061).

Almost surely, 2^{22101011100121} is an apocalyptic number.

It is an amenable number.

22101011100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101011100121 is an equidigital number, since it uses as much as digits as its factorization.

22101011100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 22101011100121 its reverse (12100111010122), we get a palindrome (34201122110243).

The spelling of 22101011100121 in words is "twenty-two trillion, one hundred one billion, eleven million, one hundred thousand, one hundred twenty-one".