21122101120120 has 256 divisors, whose sum is σ = 63820698439680. Its totient is φ = 6076014336000.

The previous prime is 21122101120093. The next prime is 21122101120139. The reversal of 21122101120120 is 2102110122112.

It is a super-2 number, since 2×21122101120120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122101120094 and 21122101120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242318545 + ... + 242405695.

It is an arithmetic number, because the mean of its divisors is an integer number (249299603280).

Almost surely, 2^{21122101120120} is an apocalyptic number.

21122101120120 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 21122101120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31910349219840).

21122101120120 is an abundant number, since it is smaller than the sum of its proper divisors (42698597319560).

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

21122101120120 is a wasteful number, since it uses less digits than its factorization.

21122101120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93246 (or 93242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122101120120 its reverse (2102110122112), we get a palindrome (23224211242232).

The spelling of 21122101120120 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred twenty".