21332120112101 has 2 divisors, whose sum is σ = 21332120112102. Its totient is φ = 21332120112100.

The previous prime is 21332120112077. The next prime is 21332120112103. The reversal of 21332120112101 is 10121102123312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15782750508001 + 5549369604100 = 3972751^2 + 2355710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21332120112101 is a prime.

Together with 21332120112103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21332120112103) 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, 10666060056050 + 10666060056051.

It is an arithmetic number, because the mean of its divisors is an integer number (10666060056051).

Almost surely, 2^{21332120112101} is an apocalyptic number.

It is an amenable number.

21332120112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21332120112101 is an equidigital number, since it uses as much as digits as its factorization.

21332120112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21332120112101 its reverse (10121102123312), we get a palindrome (31453222235413).

The spelling of 21332120112101 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred one".