20121121200100 has 18 divisors (see below), whose sum is σ = 43662833004434. Its totient is φ = 8048448480000.

The previous prime is 20121121200097. The next prime is 20121121200133. The reversal of 20121121200100 is 100212112102.

It can be written as a sum of positive squares in 3 ways, for example, as 656012522916 + 19465108677184 = 809946^2 + 4411928^2 .

It is a super-2 number, since 2×20121121200100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100605605901 + ... + 100605606100.

Almost surely, 2^{20121121200100} is an apocalyptic number.

20121121200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121121200100 is an abundant number, since it is smaller than the sum of its proper divisors (23541711804334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20121121200100 is a wasteful number, since it uses less digits than its factorization.

20121121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201211212015 (or 201211212008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20121121200100 its reverse (100212112102), we get a palindrome (20221333312202).

The spelling of 20121121200100 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, one hundred".