2212222002101 has 2 divisors, whose sum is σ = 2212222002102. Its totient is φ = 2212222002100.

The previous prime is 2212222002073. The next prime is 2212222002103. The reversal of 2212222002101 is 1012002222122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1592073627076 + 620148375025 = 1261774^2 + 787495^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212222002101 - 2¹⁴ = 2212221985717 is a prime.

Together with 2212222002103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2212222002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212222002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106111001050 + 1106111001051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106111001051).

Almost surely, 2^{2212222002101} is an apocalyptic number.

It is an amenable number.

2212222002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212222002101 is an equidigital number, since it uses as much as digits as its factorization.

2212222002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2212222002101 its reverse (1012002222122), we get a palindrome (3224224224223).

The spelling of 2212222002101 in words is "two trillion, two hundred twelve billion, two hundred twenty-two million, two thousand, one hundred one".