102222111212101 has 2 divisors, whose sum is σ = 102222111212102. Its totient is φ = 102222111212100.

The previous prime is 102222111212041. The next prime is 102222111212129. The reversal of 102222111212101 is 101212111222201.

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., 95986577831076 + 6235533381025 = 9797274^2 + 2497105^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222111212101 - 2⁷ = 102222111211973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222111212161) 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, 51111055606050 + 51111055606051.

It is an arithmetic number, because the mean of its divisors is an integer number (51111055606051).

Almost surely, 2^{102222111212101} is an apocalyptic number.

It is an amenable number.

102222111212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222111212101 is an equidigital number, since it uses as much as digits as its factorization.

102222111212101 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 102222111212101 its reverse (101212111222201), we get a palindrome (203434222434302).

The spelling of 102222111212101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twelve thousand, one hundred one".