100001061001 has 8 divisors (see below), whose sum is σ = 105889268520. Its totient is φ = 94113497088.

The previous prime is 100001060993. The next prime is 100001061007. The reversal of 100001061001 is 100160100001.

It can be written as a sum of positive squares in 4 ways, for example, as 72589291776 + 27411769225 = 269424^2 + 165565^2 .

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

It is not a de Polignac number, because 100001061001 - 2³ = 100001060993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001061007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179605 + ... + 481933.

It is an arithmetic number, because the mean of its divisors is an integer number (13236158565).

Almost surely, 2^100001061001 is an apocalyptic number.

It is an amenable number.

100001061001 is a deficient number, since it is larger than the sum of its proper divisors (5888207519).

100001061001 is a wasteful number, since it uses less digits than its factorization.

100001061001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321803.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100001061001 its reverse (100160100001), we get a palindrome (200161161002).

The spelling of 100001061001 in words is "one hundred billion, one million, sixty-one thousand, one".