100001211121 has 16 divisors (see below), whose sum is σ = 116734017024. Its totient is φ = 83880612864.

The previous prime is 100001211091. The next prime is 100001211131. The reversal of 100001211121 is 121112100001.

It is a cyclic number.

It is not a de Polignac number, because 100001211121 - 2¹³ = 100001202929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001211098 and 100001211107.

It is not an unprimeable number, because it can be changed into a prime (100001211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3378241 + ... + 3407713.

It is an arithmetic number, because the mean of its divisors is an integer number (7295876064).

Almost surely, 2^100001211121 is an apocalyptic number.

It is an amenable number.

100001211121 is a deficient number, since it is larger than the sum of its proper divisors (16732805903).

100001211121 is a wasteful number, since it uses less digits than its factorization.

100001211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39840.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001211121 its reverse (121112100001), we get a palindrome (221113311122).

The spelling of 100001211121 in words is "one hundred billion, one million, two hundred eleven thousand, one hundred twenty-one".