21202100120101 has 2 divisors, whose sum is σ = 21202100120102. Its totient is φ = 21202100120100.

The previous prime is 21202100120083. The next prime is 21202100120203. The reversal of 21202100120101 is 10102100120212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17133589247076 + 4068510873025 = 4139274^2 + 2017055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21202100120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21202100120401) 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, 10601050060050 + 10601050060051.

It is an arithmetic number, because the mean of its divisors is an integer number (10601050060051).

Almost surely, 2^{21202100120101} is an apocalyptic number.

It is an amenable number.

21202100120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202100120101 is an equidigital number, since it uses as much as digits as its factorization.

21202100120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21202100120101 its reverse (10102100120212), we get a palindrome (31304200240313).

The spelling of 21202100120101 in words is "twenty-one trillion, two hundred two billion, one hundred million, one hundred twenty thousand, one hundred one".