100100212121 has 8 divisors (see below), whose sum is σ = 123200261184. Its totient is φ = 79200167760.

The previous prime is 100100212117. The next prime is 100100212181. The reversal of 100100212121 is 121212001001.

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

It is not a de Polignac number, because 100100212121 - 2² = 100100212117 is a prime.

100100212121 is a modest number, since divided by 212121 gives 100100 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100212181) 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, 550001075 + ... + 550001256.

It is an arithmetic number, because the mean of its divisors is an integer number (15400032648).

Almost surely, 2^100100212121 is an apocalyptic number.

It is an amenable number.

100100212121 is a deficient number, since it is larger than the sum of its proper divisors (23100049063).

100100212121 is a wasteful number, since it uses less digits than its factorization.

100100212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100002351.

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

Adding to 100100212121 its reverse (121212001001), we get a palindrome (221312213122).

The spelling of 100100212121 in words is "one hundred billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".