102102201111121 has 2 divisors, whose sum is σ = 102102201111122. Its totient is φ = 102102201111120.

The previous prime is 102102201111077. The next prime is 102102201111133. The reversal of 102102201111121 is 121111102201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101036270822400 + 1065930288721 = 10051680^2 + 1032439^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102201111121 - 2¹³ = 102102201102929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102201111095 and 102102201111104.

It is not a weakly prime, because it can be changed into another prime (102102201111191) 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, 51051100555560 + 51051100555561.

It is an arithmetic number, because the mean of its divisors is an integer number (51051100555561).

Almost surely, 2^{102102201111121} is an apocalyptic number.

It is an amenable number.

102102201111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102201111121 is an equidigital number, since it uses as much as digits as its factorization.

102102201111121 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 102102201111121 its reverse (121111102201201), we get a palindrome (223213303312322).

The spelling of 102102201111121 in words is "one hundred two trillion, one hundred two billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".