107004014008101 has 48 divisors (see below), whose sum is σ = 177201198540288. Its totient is φ = 60951630528000.

The previous prime is 107004014008079. The next prime is 107004014008139. The reversal of 107004014008101 is 101800410400701.

It is not a de Polignac number, because 107004014008101 - 2²⁶ = 107003946899237 is a prime.

It is a super-2 number, since 2×107004014008101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107004014004101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36141871 + ... + 38990291.

It is an arithmetic number, because the mean of its divisors is an integer number (3691691636256).

Almost surely, 2^{107004014008101} is an apocalyptic number.

It is an amenable number.

107004014008101 is a deficient number, since it is larger than the sum of its proper divisors (70197184532187).

107004014008101 is a wasteful number, since it uses less digits than its factorization.

107004014008101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850322 (or 2850319 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 107004014008101 its reverse (101800410400701), we get a palindrome (208804424408802).

The spelling of 107004014008101 in words is "one hundred seven trillion, four billion, fourteen million, eight thousand, one hundred one".