102111002008121 has 2 divisors, whose sum is σ = 102111002008122. Its totient is φ = 102111002008120.

The previous prime is 102111002008109. The next prime is 102111002008123. The reversal of 102111002008121 is 121800200111201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89874571248400 + 12236430759721 = 9480220^2 + 3498061^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111002008121 - 2³⁸ = 101836124101177 is a prime.

It is a super-2 number, since 2×102111002008121² (a number of 29 digits) contains 22 as substring.

Together with 102111002008123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111002008093 and 102111002008102.

It is not a weakly prime, because it can be changed into another prime (102111002008123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055501004060 + 51055501004061.

It is an arithmetic number, because the mean of its divisors is an integer number (51055501004061).

Almost surely, 2^{102111002008121} is an apocalyptic number.

It is an amenable number.

102111002008121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111002008121 is an equidigital number, since it uses as much as digits as its factorization.

102111002008121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 102111002008121 its reverse (121800200111201), we get a palindrome (223911202119322).

The spelling of 102111002008121 in words is "one hundred two trillion, one hundred eleven billion, two million, eight thousand, one hundred twenty-one".