100001000121121 has 8 divisors (see below), whose sum is σ = 109095139255104. Its totient is φ = 90907384174320.

The previous prime is 100001000121101. The next prime is 100001000121149. The reversal of 100001000121121 is 121121000100001.

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 100001000121121 - 2⁵ = 100001000121089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001000121098 and 100001000121107.

It is not an unprimeable number, because it can be changed into a prime (100001000121101) 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 7 ways as a sum of consecutive naturals, for example, 130397085 + ... + 131161738.

It is an arithmetic number, because the mean of its divisors is an integer number (13636892406888).

Almost surely, 2^{100001000121121} is an apocalyptic number.

100001000121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001000121121 is a deficient number, since it is larger than the sum of its proper divisors (9094139133983).

100001000121121 is a wasteful number, since it uses less digits than its factorization.

100001000121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261593591.

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

Adding to 100001000121121 its reverse (121121000100001), we get a palindrome (221122000221122).

The spelling of 100001000121121 in words is "one hundred trillion, one billion, one hundred twenty-one thousand, one hundred twenty-one".