100113333311121 has 32 divisors (see below), whose sum is σ = 147098961580032. Its totient is φ = 60174064399680.

The previous prime is 100113333311081. The next prime is 100113333311137. The reversal of 100113333311121 is 121113333311001.

It is not a de Polignac number, because 100113333311121 - 2¹⁰ = 100113333310097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100113333311091 and 100113333311100.

It is not an unprimeable number, because it can be changed into a prime (100113333311141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74265376 + ... + 75601406.

It is an arithmetic number, because the mean of its divisors is an integer number (4596842549376).

Almost surely, 2^{100113333311121} is an apocalyptic number.

It is an amenable number.

100113333311121 is a deficient number, since it is larger than the sum of its proper divisors (46985628268911).

100113333311121 is a wasteful number, since it uses less digits than its factorization.

100113333311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380773.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 100113333311121 its reverse (121113333311001), we get a palindrome (221226666622122).

The spelling of 100113333311121 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty-three million, three hundred eleven thousand, one hundred twenty-one".