100001221121 has 8 divisors (see below), whose sum is σ = 100709119104. Its totient is φ = 99294221520.

The previous prime is 100001221081. The next prime is 100001221123. The reversal of 100001221121 is 121122100001.

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

It is a cyclic number.

It is not a de Polignac number, because 100001221121 - 2¹⁰ = 100001220097 is a prime.

It is a super-2 number, since 2×100001221121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395 + ... + 447216.

It is an arithmetic number, because the mean of its divisors is an integer number (12588639888).

Almost surely, 2^100001221121 is an apocalyptic number.

It is an amenable number.

100001221121 is a deficient number, since it is larger than the sum of its proper divisors (707897983).

100001221121 is a wasteful number, since it uses less digits than its factorization.

100001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449191.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100001221121 its reverse (121122100001), we get a palindrome (221123321122).

The spelling of 100001221121 in words is "one hundred billion, one million, two hundred twenty-one thousand, one hundred twenty-one".