100100200200121 has 16 divisors (see below), whose sum is σ = 109404412355520. Its totient is φ = 90830034247680.

The previous prime is 100100200200113. The next prime is 100100200200127. The reversal of 100100200200121 is 121002002001001.

It is a cyclic number.

It is not a de Polignac number, because 100100200200121 - 2³ = 100100200200113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100200200098 and 100100200200107.

It is not an unprimeable number, because it can be changed into a prime (100100200200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149422905 + ... + 150091321.

It is an arithmetic number, because the mean of its divisors is an integer number (6837775772220).

Almost surely, 2^{100100200200121} is an apocalyptic number.

100100200200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100200200121 is a deficient number, since it is larger than the sum of its proper divisors (9304212155399).

100100200200121 is a wasteful number, since it uses less digits than its factorization.

100100200200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693864.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100200200121 its reverse (121002002001001), we get a palindrome (221102202201122).

The spelling of 100100200200121 in words is "one hundred trillion, one hundred billion, two hundred million, two hundred thousand, one hundred twenty-one".