100106162221 has 8 divisors (see below), whose sum is σ = 108874030104. Its totient is φ = 91490779200.

The previous prime is 100106162203. The next prime is 100106162231. The reversal of 100106162221 is 122261601001.

It can be written as a sum of positive squares in 4 ways, for example, as 47550599721 + 52555562500 = 218061^2 + 229250^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100106162221 - 2¹⁷ = 100106031149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100106162192 and 100106162201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106162231) 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 in 7 ways as a sum of consecutive naturals, for example, 38119846 + ... + 38122471.

It is an arithmetic number, because the mean of its divisors is an integer number (13609253763).

Almost surely, 2^100106162221 is an apocalyptic number.

It is an amenable number.

100106162221 is a deficient number, since it is larger than the sum of its proper divisors (8767867883).

100106162221 is a wasteful number, since it uses less digits than its factorization.

100106162221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76242431.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 100106162221 its reverse (122261601001), we get a palindrome (222367763222).

The spelling of 100106162221 in words is "one hundred billion, one hundred six million, one hundred sixty-two thousand, two hundred twenty-one".