20102116121 has 2 divisors, whose sum is σ = 20102116122. Its totient is φ = 20102116120.

The previous prime is 20102116117. The next prime is 20102116163. The reversal of 20102116121 is 12161120102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10447088521 + 9655027600 = 102211^2 + 98260^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102116121 - 2² = 20102116117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20102116121.

It is not a weakly prime, because it can be changed into another prime (20102116171) 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, 10051058060 + 10051058061.

It is an arithmetic number, because the mean of its divisors is an integer number (10051058061).

Almost surely, 2^20102116121 is an apocalyptic number.

It is an amenable number.

20102116121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102116121 is an equidigital number, since it uses as much as digits as its factorization.

20102116121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 20102116121 its reverse (12161120102), we get a palindrome (32263236223).

The spelling of 20102116121 in words is "twenty billion, one hundred two million, one hundred sixteen thousand, one hundred twenty-one".