2121211001120 has 96 divisors (see below), whose sum is σ = 5168660668416. Its totient is φ = 822209152000.

The previous prime is 2121211001099. The next prime is 2121211001201. The reversal of 2121211001120 is 211001121212.

It is a super-3 number, since 3×2121211001120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121211001095 and 2121211001104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636896 + ... + 2155935.

It is an arithmetic number, because the mean of its divisors is an integer number (53840215296).

Almost surely, 2^{2121211001120} is an apocalyptic number.

2121211001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121211001120 is an abundant number, since it is smaller than the sum of its proper divisors (3047449667296).

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

2121211001120 is a wasteful number, since it uses less digits than its factorization.

2121211001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792994 (or 2792986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121211001120 its reverse (211001121212), we get a palindrome (2332212122332).

The spelling of 2121211001120 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one thousand, one hundred twenty".