100201200121 has 8 divisors (see below), whose sum is σ = 109312826688. Its totient is φ = 91089978000.

The previous prime is 100201200089. The next prime is 100201200133. The reversal of 100201200121 is 121002102001.

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 100201200121 - 2⁵ = 100201200089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201200098 and 100201200107.

It is not an unprimeable number, because it can be changed into a prime (100201200221) 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, 677916 + ... + 812386.

It is an arithmetic number, because the mean of its divisors is an integer number (13664103336).

Almost surely, 2^100201200121 is an apocalyptic number.

100201200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201200121 is a deficient number, since it is larger than the sum of its proper divisors (9111626567).

100201200121 is a wasteful number, since it uses less digits than its factorization.

100201200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202223.

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

Adding to 100201200121 its reverse (121002102001), we get a palindrome (221203302122).

The spelling of 100201200121 in words is "one hundred billion, two hundred one million, two hundred thousand, one hundred twenty-one".