12122121012101 has 2 divisors, whose sum is σ = 12122121012102. Its totient is φ = 12122121012100.

The previous prime is 12122121012017. The next prime is 12122121012119. The reversal of 12122121012101 is 10121012122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7475444983876 + 4646676028225 = 2734126^2 + 2155615^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122121012101 - 2²⁶ = 12122053903237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122121012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122121012301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061060506050 + 6061060506051.

It is an arithmetic number, because the mean of its divisors is an integer number (6061060506051).

Almost surely, 2^{12122121012101} is an apocalyptic number.

It is an amenable number.

12122121012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122121012101 is an equidigital number, since it uses as much as digits as its factorization.

12122121012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122121012101 its reverse (10121012122121), we get a palindrome (22243133134222).

The spelling of 12122121012101 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred one".