2121120021120 has 64 divisors (see below), whose sum is σ = 6761070073440. Its totient is φ = 565632005120.

The previous prime is 2121120021109. The next prime is 2121120021121. The reversal of 2121120021120 is 211200211212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2121120021120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121120021120.

It is not an unprimeable number, because it can be changed into a prime (2121120021121) 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 7 ways as a sum of consecutive naturals, for example, 552373086 + ... + 552376925.

Almost surely, 2^{2121120021120} is an apocalyptic number.

2121120021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121120021120 is an abundant number, since it is smaller than the sum of its proper divisors (4639950052320).

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

2121120021120 is a wasteful number, since it uses less digits than its factorization.

2121120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104750033 (or 1104750021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121120021120 its reverse (211200211212), we get a palindrome (2332320232332).

The spelling of 2121120021120 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, twenty-one thousand, one hundred twenty".