100601366225 has 48 divisors (see below), whose sum is σ = 134597675376. Its totient is φ = 74311680000.

The previous prime is 100601366207. The next prime is 100601366233. The reversal of 100601366225 is 522663106001.

It can be written as a sum of positive squares in 24 ways, for example, as 36401968849 + 64199397376 = 190793^2 + 253376^2 .

It is not a de Polignac number, because 100601366225 - 2⁶ = 100601366161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100601366191 and 100601366200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10391087 + ... + 10400763.

It is an arithmetic number, because the mean of its divisors is an integer number (2804118237).

Almost surely, 2^100601366225 is an apocalyptic number.

It is an amenable number.

100601366225 is a deficient number, since it is larger than the sum of its proper divisors (33996309151).

100601366225 is a wasteful number, since it uses less digits than its factorization.

100601366225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 100601366225 in words is "one hundred billion, six hundred one million, three hundred sixty-six thousand, two hundred twenty-five".