102222112200101 has 2 divisors, whose sum is σ = 102222112200102. Its totient is φ = 102222112200100.

The previous prime is 102222112200073. The next prime is 102222112200107. The reversal of 102222112200101 is 101002211222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93284111056900 + 8938001143201 = 9658370^2 + 2989649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102222112200101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102222112200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222112200107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111056100050 + 51111056100051.

It is an arithmetic number, because the mean of its divisors is an integer number (51111056100051).

Almost surely, 2^{102222112200101} is an apocalyptic number.

It is an amenable number.

102222112200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222112200101 is an equidigital number, since it uses as much as digits as its factorization.

102222112200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102222112200101 its reverse (101002211222201), we get a palindrome (203224323422302).

The spelling of 102222112200101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twelve million, two hundred thousand, one hundred one".