21220011101120 has 224 divisors, whose sum is σ = 54565232601600. Its totient is φ = 7813780475904.

The previous prime is 21220011101117. The next prime is 21220011101183. The reversal of 21220011101120 is 2110111002212.

It is a super-2 number, since 2×21220011101120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21220011101095 and 21220011101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623961717 + ... + 2623969803.

It is an arithmetic number, because the mean of its divisors is an integer number (243594788400).

Almost surely, 2^{21220011101120} is an apocalyptic number.

21220011101120 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 21220011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27282616300800).

21220011101120 is an abundant number, since it is smaller than the sum of its proper divisors (33345221500480).

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

21220011101120 is a wasteful number, since it uses less digits than its factorization.

21220011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9745 counting only the distinct ones).

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

Adding to 21220011101120 its reverse (2110111002212), we get a palindrome (23330122103332).

The spelling of 21220011101120 in words is "twenty-one trillion, two hundred twenty billion, eleven million, one hundred one thousand, one hundred twenty".