2121003331100 has 144 divisors (see below), whose sum is σ = 4792546590720. Its totient is φ = 813783801600.

The previous prime is 2121003331099. The next prime is 2121003331121. The reversal of 2121003331100 is 11333001212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338220965 + ... + 338227235.

Almost surely, 2^{2121003331100} is an apocalyptic number.

2121003331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121003331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396273295360).

2121003331100 is an abundant number, since it is smaller than the sum of its proper divisors (2671543259620).

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

2121003331100 is a wasteful number, since it uses less digits than its factorization.

2121003331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2121003331100 its reverse (11333001212), we get a palindrome (2132336332312).

The spelling of 2121003331100 in words is "two trillion, one hundred twenty-one billion, three million, three hundred thirty-one thousand, one hundred".