9166422312100 has 81 divisors (see below), whose sum is σ = 19981486120617. Its totient is φ = 3649989732480.

The previous prime is 9166422312079. The next prime is 9166422312119. The reversal of 9166422312100 is 12132246619.

It is a happy number.

The square root of 9166422312100 is 3027610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3096663750756 + 6069758561344 = 1759734^2 + 2463688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9166422312100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8386479154 + ... + 8386480246.

Almost surely, 2^{9166422312100} is an apocalyptic number.

9166422312100 is the 3027610-th square number.

It is an amenable number.

9166422312100 is an abundant number, since it is smaller than the sum of its proper divisors (10815063808517).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9166422312100 is an equidigital number, since it uses as much as digits as its factorization.

9166422312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 9166422312100 its reverse (12132246619), we get a palindrome (9178554558719).

The spelling of 9166422312100 in words is "nine trillion, one hundred sixty-six billion, four hundred twenty-two million, three hundred twelve thousand, one hundred".