22102101212101 has 2 divisors, whose sum is σ = 22102101212102. Its totient is φ = 22102101212100.

The previous prime is 22102101212099. The next prime is 22102101212123. The reversal of 22102101212101 is 10121210120122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18812778516900 + 3289322695201 = 4337370^2 + 1813649^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102101212101 - 2¹ = 22102101212099 is a prime.

Together with 22102101212099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22102101242101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051050606050 + 11051050606051.

It is an arithmetic number, because the mean of its divisors is an integer number (11051050606051).

Almost surely, 2^{22102101212101} is an apocalyptic number.

It is an amenable number.

22102101212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102101212101 is an equidigital number, since it uses as much as digits as its factorization.

22102101212101 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 16.

Adding to 22102101212101 its reverse (10121210120122), we get a palindrome (32223311332223).

The spelling of 22102101212101 in words is "twenty-two trillion, one hundred two billion, one hundred one million, two hundred twelve thousand, one hundred one".