100212212010161 has 2 divisors, whose sum is σ = 100212212010162. Its totient is φ = 100212212010160.

The previous prime is 100212212010133. The next prime is 100212212010241. The reversal of 100212212010161 is 161010212212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53037719290000 + 47174492720161 = 7282700^2 + 6868369^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212212010161 - 2³⁴ = 100195032140977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100212212015161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106106005080 + 50106106005081.

It is an arithmetic number, because the mean of its divisors is an integer number (50106106005081).

Almost surely, 2^{100212212010161} is an apocalyptic number.

It is an amenable number.

100212212010161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212212010161 is an equidigital number, since it uses as much as digits as its factorization.

100212212010161 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 20.

Adding to 100212212010161 its reverse (161010212212001), we get a palindrome (261222424222162).

The spelling of 100212212010161 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, ten thousand, one hundred sixty-one".