10102121110121 has 2 divisors, whose sum is σ = 10102121110122. Its totient is φ = 10102121110120.

The previous prime is 10102121110031. The next prime is 10102121110127. The reversal of 10102121110121 is 12101112120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10066025290000 + 36095820121 = 3172700^2 + 189989^2 .

It is an emirp because it is prime and its reverse (12101112120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102121110121 - 2¹⁸ = 10102120847977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102121110096 and 10102121110105.

It is not a weakly prime, because it can be changed into another prime (10102121110127) 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, 5051060555060 + 5051060555061.

It is an arithmetic number, because the mean of its divisors is an integer number (5051060555061).

Almost surely, 2^{10102121110121} is an apocalyptic number.

It is an amenable number.

10102121110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102121110121 is an equidigital number, since it uses as much as digits as its factorization.

10102121110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10102121110121 its reverse (12101112120101), we get a palindrome (22203233230222).

The spelling of 10102121110121 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".