212100101120 has 44 divisors (see below), whose sum is σ = 508791700164. Its totient is φ = 84840038400.

The previous prime is 212100101119. The next prime is 212100101201. The reversal of 212100101120 is 21101001212.

It can be written as a sum of positive squares in 2 ways, for example, as 68501545984 + 143598555136 = 261728^2 + 378944^2 .

It is a super-2 number, since 2×212100101120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20707781 + ... + 20718020.

It is an arithmetic number, because the mean of its divisors is an integer number (11563447731).

Almost surely, 2^212100101120 is an apocalyptic number.

212100101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100101120 is an abundant number, since it is smaller than the sum of its proper divisors (296691599044).

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

212100101120 is an equidigital number, since it uses as much as digits as its factorization.

212100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41425826 (or 41425808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212100101120 its reverse (21101001212), we get a palindrome (233201102332).

The spelling of 212100101120 in words is "two hundred twelve billion, one hundred million, one hundred one thousand, one hundred twenty".