100201020011121 has 32 divisors (see below), whose sum is σ = 142253481484800. Its totient is φ = 62518701451520.

The previous prime is 100201020011111. The next prime is 100201020011167. The reversal of 100201020011121 is 121110020102001.

It is a cyclic number.

It is not a de Polignac number, because 100201020011121 - 2²⁹ = 100200483140209 is a prime.

It is a super-2 number, since 2×100201020011121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201020011097 and 100201020011106.

It is not an unprimeable number, because it can be changed into a prime (100201020011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640220686 + ... + 640377176.

It is an arithmetic number, because the mean of its divisors is an integer number (4445421296400).

Almost surely, 2^{100201020011121} is an apocalyptic number.

It is an amenable number.

100201020011121 is a deficient number, since it is larger than the sum of its proper divisors (42052461473679).

100201020011121 is a wasteful number, since it uses less digits than its factorization.

100201020011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226829.

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

Adding to 100201020011121 its reverse (121110020102001), we get a palindrome (221311040113122).

The spelling of 100201020011121 in words is "one hundred trillion, two hundred one billion, twenty million, eleven thousand, one hundred twenty-one".