2121002000100 has 108 divisors (see below), whose sum is σ = 6810313369860. Its totient is φ = 551805388800.

The previous prime is 2121002000081. The next prime is 2121002000111. The reversal of 2121002000100 is 10002001212.

It can be written as a sum of positive squares in 6 ways, for example, as 924459174144 + 1196542825956 = 961488^2 + 1093866^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 28702965 + ... + 28776764.

Almost surely, 2^{2121002000100} is an apocalyptic number.

2121002000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121002000100 is an abundant number, since it is smaller than the sum of its proper divisors (4689311369760).

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

2121002000100 is a wasteful number, since it uses less digits than its factorization.

2121002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57479790 (or 57479780 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2121002000100 its reverse (10002001212), we get a palindrome (2131004001312).

The spelling of 2121002000100 in words is "two trillion, one hundred twenty-one billion, two million, one hundred", and thus it is an aban number.