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BaseRepresentation
bin101111000010000010…
…0110011100010100001
3100122200212111200112111
41132010010303202201
53123322011200001
6114222050355321
710203606453643
oct1360404634241
9318625450474
10101000100001
1139919a18029
12176a888bb41
1396a7a832a8
144c61bd6893
152961e3a851
hex17841338a1

101000100001 has 16 divisors (see below), whose sum is σ = 110796636240. Its totient is φ = 91641876480.

The previous prime is 101000099983. The next prime is 101000100007. The reversal of 101000100001 is 100001000101.

Adding to 101000100001 its reverse (100001000101), we get a palindrome (201001100102).

It can be written as a sum of positive squares in 8 ways, for example, as 10293117025 + 90706982976 = 101455^2 + 301176^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000100001 - 25 = 101000099969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170905 + ... + 480841.

It is an arithmetic number, because the mean of its divisors is an integer number (6924789765).

Almost surely, 2101000100001 is an apocalyptic number.

It is an amenable number.

101000100001 is a deficient number, since it is larger than the sum of its proper divisors (9796536239).

101000100001 is a wasteful number, since it uses less digits than its factorization.

101000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310644.

The product of its (nonzero) digits is 1, while the sum is 4.

The spelling of 101000100001 in words is "one hundred one billion, one hundred thousand, one".