100313010110121 has 16 divisors (see below), whose sum is σ = 140790404216640. Its totient is φ = 63355488768000.

The previous prime is 100313010110113. The next prime is 100313010110129. The reversal of 100313010110121 is 121011010313001.

It is an interprime number because it is at equal distance from previous prime (100313010110113) and next prime (100313010110129).

It is not a de Polignac number, because 100313010110121 - 2³ = 100313010110113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100313010110121.

It is not an unprimeable number, because it can be changed into a prime (100313010110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64438881 + ... + 65977233.

It is an arithmetic number, because the mean of its divisors is an integer number (8799400263540).

Almost surely, 2^{100313010110121} is an apocalyptic number.

It is an amenable number.

100313010110121 is a deficient number, since it is larger than the sum of its proper divisors (40477394106519).

100313010110121 is a wasteful number, since it uses less digits than its factorization.

100313010110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682376.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100313010110121 its reverse (121011010313001), we get a palindrome (221324020423122).

The spelling of 100313010110121 in words is "one hundred trillion, three hundred thirteen billion, ten million, one hundred ten thousand, one hundred twenty-one".