102212220116101 has 2 divisors, whose sum is σ = 102212220116102. Its totient is φ = 102212220116100.

The previous prime is 102212220116093. The next prime is 102212220116159. The reversal of 102212220116101 is 101611022212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96898941563076 + 5313278553025 = 9843726^2 + 2305055^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212220116101 - 2³ = 102212220116093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212820116101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106110058050 + 51106110058051.

It is an arithmetic number, because the mean of its divisors is an integer number (51106110058051).

Almost surely, 2^{102212220116101} is an apocalyptic number.

It is an amenable number.

102212220116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212220116101 is an equidigital number, since it uses as much as digits as its factorization.

102212220116101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 102212220116101 its reverse (101611022212201), we get a palindrome (203823242328302).

The spelling of 102212220116101 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, one hundred sixteen thousand, one hundred one".