100101120100107 has 24 divisors (see below), whose sum is σ = 155259500889600. Its totient is φ = 57200411365776.

The previous prime is 100101120100099. The next prime is 100101120100141. The reversal of 100101120100107 is 701001021101001.

It is not a de Polignac number, because 100101120100107 - 2³ = 100101120100099 is a prime.

It is a super-2 number, since 2×100101120100107² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101120150107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39737994 + ... + 42181872.

It is an arithmetic number, because the mean of its divisors is an integer number (6469145870400).

Almost surely, 2^{100101120100107} is an apocalyptic number.

100101120100107 is a deficient number, since it is larger than the sum of its proper divisors (55158380789493).

100101120100107 is a wasteful number, since it uses less digits than its factorization.

100101120100107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722535 (or 2722528 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 100101120100107 its reverse (701001021101001), we get a palindrome (801102141201108).

The spelling of 100101120100107 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, one hundred thousand, one hundred seven".