102212100221113 has 2 divisors, whose sum is σ = 102212100221114. Its totient is φ = 102212100221112.

The previous prime is 102212100221041. The next prime is 102212100221213. The reversal of 102212100221113 is 311122001212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101613415801104 + 598684420009 = 10080348^2 + 773747^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212100221113 - 2¹⁷ = 102212100090041 is a prime.

It is a super-2 number, since 2×102212100221113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102212100221213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106050110556 + 51106050110557.

It is an arithmetic number, because the mean of its divisors is an integer number (51106050110557).

Almost surely, 2^{102212100221113} is an apocalyptic number.

It is an amenable number.

102212100221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212100221113 is an equidigital number, since it uses as much as digits as its factorization.

102212100221113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 102212100221113 its reverse (311122001212201), we get a palindrome (413334101433314).

The spelling of 102212100221113 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred thirteen".