102111222122101 has 2 divisors, whose sum is σ = 102111222122102. Its totient is φ = 102111222122100.

The previous prime is 102111222122057. The next prime is 102111222122111. The reversal of 102111222122101 is 101221222111201.

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., 102052525431025 + 58696691076 = 10102105^2 + 242274^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111222122101 - 2⁷ = 102111222121973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111222122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055611061050 + 51055611061051.

It is an arithmetic number, because the mean of its divisors is an integer number (51055611061051).

Almost surely, 2^{102111222122101} is an apocalyptic number.

It is an amenable number.

102111222122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111222122101 is an equidigital number, since it uses as much as digits as its factorization.

102111222122101 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 19.

Adding to 102111222122101 its reverse (101221222111201), we get a palindrome (203332444233302).

The spelling of 102111222122101 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".