100001320107 has 32 divisors (see below), whose sum is σ = 148576377600. Its totient is φ = 59403910272.

The previous prime is 100001320079. The next prime is 100001320127. The reversal of 100001320107 is 701023100001.

It is not a de Polignac number, because 100001320107 - 2¹⁴ = 100001303723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001320127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7660528 + ... + 7673570.

It is an arithmetic number, because the mean of its divisors is an integer number (4643011800).

Almost surely, 2^100001320107 is an apocalyptic number.

100001320107 is a deficient number, since it is larger than the sum of its proper divisors (48575057493).

100001320107 is a wasteful number, since it uses less digits than its factorization.

100001320107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19867.

The product of its (nonzero) digits is 42, while the sum is 15.

Adding to 100001320107 its reverse (701023100001), we get a palindrome (801024420108).

The spelling of 100001320107 in words is "one hundred billion, one million, three hundred twenty thousand, one hundred seven".