2121011200000 has 768 divisors, whose sum is σ = 6634994083200. Its totient is φ = 658636800000.

The previous prime is 2121011199973. The next prime is 2121011200051. The reversal of 2121011200000 is 21101212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2121011200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7884799866 + ... + 7884800134.

Almost surely, 2^{2121011200000} is an apocalyptic number.

2121011200000 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 2121011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317497041600).

2121011200000 is an abundant number, since it is smaller than the sum of its proper divisors (4513982883200).

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

2121011200000 is an frugal number, since it uses more digits than its factorization.

2121011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 294 counting only the distinct ones).

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

Adding to 2121011200000 its reverse (21101212), we get a palindrome (2121032301212).

The spelling of 2121011200000 in words is "two trillion, one hundred twenty-one billion, eleven million, two hundred thousand".