102101122110121 has 2 divisors, whose sum is σ = 102101122110122. Its totient is φ = 102101122110120.

The previous prime is 102101122110059. The next prime is 102101122110179. The reversal of 102101122110121 is 121011221101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101721344490000 + 379777620121 = 10085700^2 + 616261^2 .

It is an emirp because it is prime and its reverse (121011221101201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101122110121 is a prime.

It is a super-2 number, since 2×102101122110121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101122110095 and 102101122110104.

It is not a weakly prime, because it can be changed into another prime (102101122110521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050561055060 + 51050561055061.

It is an arithmetic number, because the mean of its divisors is an integer number (51050561055061).

Almost surely, 2^{102101122110121} is an apocalyptic number.

It is an amenable number.

102101122110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101122110121 is an equidigital number, since it uses as much as digits as its factorization.

102101122110121 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 16.

Adding to 102101122110121 its reverse (121011221101201), we get a palindrome (223112343211322).

The spelling of 102101122110121 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".