21022221201120 has 576 divisors, whose sum is σ = 76314008010240. Its totient is φ = 5257967210496.

The previous prime is 21022221201109. The next prime is 21022221201169. The reversal of 21022221201120 is 2110212222012.

It is a happy number.

21022221201120 is a `hidden beast` number, since 210 + 2 + 222 + 120 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21022221201093 and 21022221201102.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5622416211 + ... + 5622419949.

It is an arithmetic number, because the mean of its divisors is an integer number (132489597240).

Almost surely, 2^{21022221201120} is an apocalyptic number.

21022221201120 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 21022221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38157004005120).

21022221201120 is an abundant number, since it is smaller than the sum of its proper divisors (55291786809120).

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

21022221201120 is a wasteful number, since it uses less digits than its factorization.

21022221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21022221201120 its reverse (2110212222012), we get a palindrome (23132433423132).

The spelling of 21022221201120 in words is "twenty-one trillion, twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".