2121020022000 has 320 divisors, whose sum is σ = 7462621790208. Its totient is φ = 513993600000.

The previous prime is 2121020021987. The next prime is 2121020022001. The reversal of 2121020022000 is 2200201212.

It is a super-3 number, since 3×2121020022000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121020022001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 261817950 + ... + 261826050.

Almost surely, 2^{2121020022000} is an apocalyptic number.

2121020022000 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 2121020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731310895104).

2121020022000 is an abundant number, since it is smaller than the sum of its proper divisors (5341601768208).

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

2121020022000 is a wasteful number, since it uses less digits than its factorization.

2121020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2121020022000 its reverse (2200201212), we get a palindrome (2123220223212).

The spelling of 2121020022000 in words is "two trillion, one hundred twenty-one billion, twenty million, twenty-two thousand".