100106061101 has 2 divisors, whose sum is σ = 100106061102. Its totient is φ = 100106061100.

The previous prime is 100106061047. The next prime is 100106061131. The reversal of 100106061101 is 101160601001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99445622500 + 660438601 = 315350^2 + 25699^2 .

It is an emirp because it is prime and its reverse (101160601001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100106061101 - 2¹⁸ = 100105798957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100106061101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100106061131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053030550 + 50053030551.

It is an arithmetic number, because the mean of its divisors is an integer number (50053030551).

Almost surely, 2^100106061101 is an apocalyptic number.

It is an amenable number.

100106061101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106061101 is an equidigital number, since it uses as much as digits as its factorization.

100106061101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100106061101 its reverse (101160601001), we get a palindrome (201266662102).

The spelling of 100106061101 in words is "one hundred billion, one hundred six million, sixty-one thousand, one hundred one".