100001101121 has 8 divisors (see below), whose sum is σ = 105886491264. Its totient is φ = 94116041280.

The previous prime is 100001101097. The next prime is 100001101133. The reversal of 100001101121 is 121101100001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001101121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001101099 and 100001101108.

It is not an unprimeable number, because it can be changed into a prime (100001101171) 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 7 ways as a sum of consecutive naturals, for example, 827276 + ... + 940418.

It is an arithmetic number, because the mean of its divisors is an integer number (13235811408).

Almost surely, 2^100001101121 is an apocalyptic number.

It is an amenable number.

100001101121 is a deficient number, since it is larger than the sum of its proper divisors (5885390143).

100001101121 is a wasteful number, since it uses less digits than its factorization.

100001101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165151.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001101121 its reverse (121101100001), we get a palindrome (221102201122).

The spelling of 100001101121 in words is "one hundred billion, one million, one hundred one thousand, one hundred twenty-one".