100201121121 has 16 divisors (see below), whose sum is σ = 133774995200. Its totient is φ = 66714046848.

The previous prime is 100201121101. The next prime is 100201121129. The reversal of 100201121121 is 121121102001.

It is not a de Polignac number, because 100201121121 - 2⁵ = 100201121089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201121097 and 100201121106.

It is not an unprimeable number, because it can be changed into a prime (100201121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15162600 + ... + 15169206.

It is an arithmetic number, because the mean of its divisors is an integer number (8360937200).

Almost surely, 2^100201121121 is an apocalyptic number.

It is an amenable number.

100201121121 is a deficient number, since it is larger than the sum of its proper divisors (33573874079).

100201121121 is a wasteful number, since it uses less digits than its factorization.

100201121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201121121 its reverse (121121102001), we get a palindrome (221322223122).

The spelling of 100201121121 in words is "one hundred billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".