100648795122 has 162 divisors, whose sum is σ = 234444947373. Its totient is φ = 31205339424.

The previous prime is 100648795109. The next prime is 100648795151. The reversal of 100648795122 is 221597846001.

100648795122 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 8 + 79 + 512 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81202771521 + 19446023601 = 284961^2 + 139449^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2141463703 + ... + 2141463749.

Almost surely, 2^100648795122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100648795122

100648795122 is an abundant number, since it is smaller than the sum of its proper divisors (133796152251).

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

100648795122 is an equidigital number, since it uses as much as digits as its factorization.

100648795122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 100648795122 in words is "one hundred billion, six hundred forty-eight million, seven hundred ninety-five thousand, one hundred twenty-two".