21112122102101 has 2 divisors, whose sum is σ = 21112122102102. Its totient is φ = 21112122102100.

The previous prime is 21112122102083. The next prime is 21112122102103. The reversal of 21112122102101 is 10120122121112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19527569838001 + 1584552264100 = 4419001^2 + 1258790^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112122102101 - 2⁶ = 21112122102037 is a prime.

It is a super-2 number, since 2×21112122102101² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 21112122102103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21112122102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21112122102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556061051050 + 10556061051051.

It is an arithmetic number, because the mean of its divisors is an integer number (10556061051051).

Almost surely, 2^{21112122102101} is an apocalyptic number.

It is an amenable number.

21112122102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112122102101 is an equidigital number, since it uses as much as digits as its factorization.

21112122102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21112122102101 its reverse (10120122121112), we get a palindrome (31232244223213).

The spelling of 21112122102101 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred one".