100612322001 has 12 divisors (see below), whose sum is σ = 146827147012. Its totient is φ = 66383387136.

The previous prime is 100612321961. The next prime is 100612322021. The reversal of 100612322001 is 100223216001.

100612322001 is a `hidden beast` number, since 1 + 0 + 0 + 612 + 32 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26560850625 + 74051471376 = 162975^2 + 272124^2 .

It is not a de Polignac number, because 100612322001 - 2¹¹ = 100612319953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100612322021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57623596 + ... + 57625341.

Almost surely, 2^100612322001 is an apocalyptic number.

It is an amenable number.

100612322001 is a deficient number, since it is larger than the sum of its proper divisors (46214825011).

100612322001 is a wasteful number, since it uses less digits than its factorization.

100612322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115249040 (or 115249037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100612322001 its reverse (100223216001), we get a palindrome (200835538002).

The spelling of 100612322001 in words is "one hundred billion, six hundred twelve million, three hundred twenty-two thousand, one".