122022100210121 has 2 divisors, whose sum is σ = 122022100210122. Its totient is φ = 122022100210120.

The previous prime is 122022100210099. The next prime is 122022100210123. The reversal of 122022100210121 is 121012001220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69556183801225 + 52465916408896 = 8340035^2 + 7243336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122022100210121 is a prime.

It is a super-2 number, since 2×122022100210121² (a number of 29 digits) contains 22 as substring.

Together with 122022100210123, 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 122022100210121.

It is not a weakly prime, because it can be changed into another prime (122022100210123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011050105060 + 61011050105061.

It is an arithmetic number, because the mean of its divisors is an integer number (61011050105061).

Almost surely, 2^{122022100210121} is an apocalyptic number.

It is an amenable number.

122022100210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022100210121 is an equidigital number, since it uses as much as digits as its factorization.

122022100210121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122022100210121 its reverse (121012001220221), we get a palindrome (243034101430342).

It can be divided in two parts, 122022100 and 210121, that added together give a palindrome (122232221).

The spelling of 122022100210121 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred million, two hundred ten thousand, one hundred twenty-one".