12122000102101 has 2 divisors, whose sum is σ = 12122000102102. Its totient is φ = 12122000102100.

The previous prime is 12122000102057. The next prime is 12122000102143. The reversal of 12122000102101 is 10120100022121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8116402144900 + 4005597957201 = 2848930^2 + 2001399^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122000102101 - 2¹³ = 12122000093909 is a prime.

It is a super-2 number, since 2×12122000102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122000100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061000051050 + 6061000051051.

It is an arithmetic number, because the mean of its divisors is an integer number (6061000051051).

Almost surely, 2^{12122000102101} is an apocalyptic number.

It is an amenable number.

12122000102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122000102101 is an equidigital number, since it uses as much as digits as its factorization.

12122000102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12122000102101 its reverse (10120100022121), we get a palindrome (22242100124222).

The spelling of 12122000102101 in words is "twelve trillion, one hundred twenty-two billion, one hundred two thousand, one hundred one".