101222122121 has 2 divisors, whose sum is σ = 101222122122. Its totient is φ = 101222122120.

The previous prime is 101222122091. The next prime is 101222122123. The reversal of 101222122121 is 121221222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90398840896 + 10823281225 = 300664^2 + 104035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101222122121 is a prime.

It is a super-3 number, since 3×101222122121³ (a number of 34 digits) contains 333 as substring.

Together with 101222122123, 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 101222122121.

It is not a weakly prime, because it can be changed into another prime (101222122123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611061060 + 50611061061.

It is an arithmetic number, because the mean of its divisors is an integer number (50611061061).

Almost surely, 2^101222122121 is an apocalyptic number.

It is an amenable number.

101222122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222122121 is an equidigital number, since it uses as much as digits as its factorization.

101222122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101222122121 its reverse (121221222101), we get a palindrome (222443344222).

The spelling of 101222122121 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".