10122210202121 has 2 divisors, whose sum is σ = 10122210202122. Its totient is φ = 10122210202120.

The previous prime is 10122210202067. The next prime is 10122210202123. The reversal of 10122210202121 is 12120201222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9820633496521 + 301576705600 = 3133789^2 + 549160^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122210202121 - 2²² = 10122206007817 is a prime.

Together with 10122210202123, 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 10122210202121.

It is not a weakly prime, because it can be changed into another prime (10122210202123) 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, 5061105101060 + 5061105101061.

It is an arithmetic number, because the mean of its divisors is an integer number (5061105101061).

Almost surely, 2^{10122210202121} is an apocalyptic number.

It is an amenable number.

10122210202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122210202121 is an equidigital number, since it uses as much as digits as its factorization.

10122210202121 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 10122210202121 its reverse (12120201222101), we get a palindrome (22242411424222).

The spelling of 10122210202121 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twenty-one".