100200212122201 has 2 divisors, whose sum is σ = 100200212122202. Its totient is φ = 100200212122200.

The previous prime is 100200212122181. The next prime is 100200212122379. The reversal of 100200212122201 is 102221212002001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93511781682201 + 6688430440000 = 9670149^2 + 2586200^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200212122201 - 2⁹ = 100200212121689 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200212102201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100106061100 + 50100106061101.

It is an arithmetic number, because the mean of its divisors is an integer number (50100106061101).

Almost surely, 2^{100200212122201} is an apocalyptic number.

It is an amenable number.

100200212122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200212122201 is an equidigital number, since it uses as much as digits as its factorization.

100200212122201 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 16.

Adding to 100200212122201 its reverse (102221212002001), we get a palindrome (202421424124202).

The spelling of 100200212122201 in words is "one hundred trillion, two hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred one".