2121001120000 has 720 divisors, whose sum is σ = 6365737711872. Its totient is φ = 689356800000.

The previous prime is 2121001119973. The next prime is 2121001120061. The reversal of 2121001120000 is 211001212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3529119700 + ... + 3529120300.

Almost surely, 2^{2121001120000} is an apocalyptic number.

2121001120000 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 2121001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182868855936).

2121001120000 is an abundant number, since it is smaller than the sum of its proper divisors (4244736591872).

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

2121001120000 is an equidigital number, since it uses as much as digits as its factorization.

2121001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 775 counting only the distinct ones).

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

Adding to 2121001120000 its reverse (211001212), we get a palindrome (2121212121212).

The spelling of 2121001120000 in words is "two trillion, one hundred twenty-one billion, one million, one hundred twenty thousand".