100001102212121 has 8 divisors (see below), whose sum is σ = 109130483719584. Its totient is φ = 90878116073920.

The previous prime is 100001102212117. The next prime is 100001102212199. The reversal of 100001102212121 is 121212201100001.

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 100001102212121 - 2² = 100001102212117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001102212096 and 100001102212105.

It is not an unprimeable number, because it can be changed into a prime (100001102214121) 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, 1598809616 + ... + 1598872161.

It is an arithmetic number, because the mean of its divisors is an integer number (13641310464948).

Almost surely, 2^{100001102212121} is an apocalyptic number.

100001102212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001102212121 is a deficient number, since it is larger than the sum of its proper divisors (9129381507463).

100001102212121 is a wasteful number, since it uses less digits than its factorization.

100001102212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197684631.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100001102212121 its reverse (121212201100001), we get a palindrome (221213303312122).

The spelling of 100001102212121 in words is "one hundred trillion, one billion, one hundred two million, two hundred twelve thousand, one hundred twenty-one".