21201110121101 has 2 divisors, whose sum is σ = 21201110121102. Its totient is φ = 21201110121100.

The previous prime is 21201110121091. The next prime is 21201110121119. The reversal of 21201110121101 is 10112101110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19985361309001 + 1215748812100 = 4470499^2 + 1102610^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201110121101 - 2²² = 21201105926797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21201110121901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600555060550 + 10600555060551.

It is an arithmetic number, because the mean of its divisors is an integer number (10600555060551).

Almost surely, 2^{21201110121101} is an apocalyptic number.

It is an amenable number.

21201110121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201110121101 is an equidigital number, since it uses as much as digits as its factorization.

21201110121101 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 14.

Adding to 21201110121101 its reverse (10112101110212), we get a palindrome (31313211231313).

The spelling of 21201110121101 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, one hundred twenty-one thousand, one hundred one".