21122210010101 has 2 divisors, whose sum is σ = 21122210010102. Its totient is φ = 21122210010100.

The previous prime is 21122210010071. The next prime is 21122210010151. The reversal of 21122210010101 is 10101001222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16120233030001 + 5001976980100 = 4015001^2 + 2236510^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122210010101 - 2¹⁰ = 21122210009077 is a prime.

It is a super-2 number, since 2×21122210010101² (a number of 27 digits) contains 22 as substring.

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 (21122210010151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561105005050 + 10561105005051.

It is an arithmetic number, because the mean of its divisors is an integer number (10561105005051).

Almost surely, 2^{21122210010101} is an apocalyptic number.

It is an amenable number.

21122210010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122210010101 is an equidigital number, since it uses as much as digits as its factorization.

21122210010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122210010101 its reverse (10101001222112), we get a palindrome (31223211232213).

The spelling of 21122210010101 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, ten thousand, one hundred one".