211221102021120 has 320 divisors, whose sum is σ = 750315823678080. Its totient is φ = 56322559180800.

The previous prime is 211221102021101. The next prime is 211221102021121. The reversal of 211221102021120 is 21120201122112.

211221102021120 is a `hidden beast` number, since 211 + 22 + 110 + 202 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×211221102021120² (a number of 29 digits) contains 22 as substring.

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 = 211221102021093 and 211221102021102.

It is not an unprimeable number, because it can be changed into a prime (211221102021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452207600 + ... + 1452353040.

It is an arithmetic number, because the mean of its divisors is an integer number (2344736948994).

Almost surely, 2^{211221102021120} is an apocalyptic number.

211221102021120 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 211221102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375157911839040).

211221102021120 is an abundant number, since it is smaller than the sum of its proper divisors (539094721656960).

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

211221102021120 is a wasteful number, since it uses less digits than its factorization.

211221102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166484 (or 166462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211221102021120 its reverse (21120201122112), we get a palindrome (232341303143232).

The spelling of 211221102021120 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred two million, twenty-one thousand, one hundred twenty".