211220110121020 has 1536 divisors, whose sum is σ = 667130324926464. Its totient is φ = 53954740224000.

The previous prime is 211220110121011. The next prime is 211220110121057. The reversal of 211220110121020 is 20121011022112.

It is a super-2 number, since 2×211220110121020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220110120985 and 211220110121003.

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 342334051752 + ... + 342334052368.

It is an arithmetic number, because the mean of its divisors is an integer number (434329638624).

Almost surely, 2^{211220110121020} is an apocalyptic number.

211220110121020 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 211220110121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333565162463232).

211220110121020 is an abundant number, since it is smaller than the sum of its proper divisors (455910214805444).

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

211220110121020 is a wasteful number, since it uses less digits than its factorization.

211220110121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

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

Adding to 211220110121020 its reverse (20121011022112), we get a palindrome (231341121143132).

It can be divided in two parts, 2112201 and 10121020, that added together give a palindrome (12233221).

The spelling of 211220110121020 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred ten million, one hundred twenty-one thousand, twenty".