100212221102117 has 2 divisors, whose sum is σ = 100212221102118. Its totient is φ = 100212221102116.

The previous prime is 100212221102111. The next prime is 100212221102129. The reversal of 100212221102117 is 711201122212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60019588167361 + 40192632934756 = 7747231^2 + 6339766^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212221102117 - 2¹⁰ = 100212221101093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212221102092 and 100212221102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212221102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106110551058 + 50106110551059.

It is an arithmetic number, because the mean of its divisors is an integer number (50106110551059).

Almost surely, 2^{100212221102117} is an apocalyptic number.

It is an amenable number.

100212221102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212221102117 is an equidigital number, since it uses as much as digits as its factorization.

100212221102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 100212221102117 its reverse (711201122212001), we get a palindrome (811413343314118).

The spelling of 100212221102117 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred seventeen".