21121002101120 has 192 divisors, whose sum is σ = 52367241700800. Its totient is φ = 8145582391296.

The previous prime is 21121002101099. The next prime is 21121002101123. The reversal of 21121002101120 is 2110120012112.

It is a junction number, because it is equal to n+sod(n) for n = 21121002101095 and 21121002101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121002101123) 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 23 ways as a sum of consecutive naturals, for example, 386967272 + ... + 387021848.

It is an arithmetic number, because the mean of its divisors is an integer number (272746050525).

Almost surely, 2^{21121002101120} is an apocalyptic number.

21121002101120 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 21121002101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183620850400).

21121002101120 is an abundant number, since it is smaller than the sum of its proper divisors (31246239599680).

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

21121002101120 is an equidigital number, since it uses as much as digits as its factorization.

21121002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55373 (or 55332 counting only the distinct ones).

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

Adding to 21121002101120 its reverse (2110120012112), we get a palindrome (23231122113232).

The spelling of 21121002101120 in words is "twenty-one trillion, one hundred twenty-one billion, two million, one hundred one thousand, one hundred twenty".