2212022222101 has 2 divisors, whose sum is σ = 2212022222102. Its totient is φ = 2212022222100.

The previous prime is 2212022222099. The next prime is 2212022222167. The reversal of 2212022222101 is 1012222202122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1496399279076 + 715622943025 = 1223274^2 + 845945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212022222101 - 2¹ = 2212022222099 is a prime.

It is a super-3 number, since 3×2212022222101³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2212022222099, 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 (2212022222191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106011111050 + 1106011111051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106011111051).

Almost surely, 2^{2212022222101} is an apocalyptic number.

It is an amenable number.

2212022222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212022222101 is an equidigital number, since it uses as much as digits as its factorization.

2212022222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2212022222101 its reverse (1012222202122), we get a palindrome (3224244424223).

The spelling of 2212022222101 in words is "two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-two thousand, one hundred one".