100001320101 has 6 divisors (see below), whose sum is σ = 144446351270. Its totient is φ = 66667546728.

The previous prime is 100001320079. The next prime is 100001320127. The reversal of 100001320101 is 101023100001.

It can be written as a sum of positive squares in only one way, i.e., 97250422500 + 2750897601 = 311850^2 + 52449^2 .

It is not a de Polignac number, because 100001320101 - 2²² = 99997125797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111257789 = 100001320101 / (1 + 0 + 0 + 0 + 0 + 1 + 3 + 2 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005320101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555628886 + ... + 5555628903.

Almost surely, 2^100001320101 is an apocalyptic number.

It is an amenable number.

100001320101 is a deficient number, since it is larger than the sum of its proper divisors (44445031169).

100001320101 is a wasteful number, since it uses less digits than its factorization.

100001320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111257795 (or 11111257792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100001320101 its reverse (101023100001), we get a palindrome (201024420102).

The spelling of 100001320101 in words is "one hundred billion, one million, three hundred twenty thousand, one hundred one".