100031121333121 has 8 divisors (see below), whose sum is σ = 109125323884224. Its totient is φ = 90936996156720.

The previous prime is 100031121333097. The next prime is 100031121333139. The reversal of 100031121333121 is 121333121130001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100031121333121 - 2¹⁷ = 100031121202049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100031121333092 and 100031121333101.

It is not an unprimeable number, because it can be changed into a prime (100031121333721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16623886 + ... + 21826951.

It is an arithmetic number, because the mean of its divisors is an integer number (13640665485528).

Almost surely, 2^{100031121333121} is an apocalyptic number.

100031121333121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100031121333121 is a deficient number, since it is larger than the sum of its proper divisors (9094202551103).

100031121333121 is a wasteful number, since it uses less digits than its factorization.

100031121333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38687351.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100031121333121 its reverse (121333121130001), we get a palindrome (221364242463122).

The spelling of 100031121333121 in words is "one hundred trillion, thirty-one billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty-one".