212100001022120 has 128 divisors (see below), whose sum is σ = 513355718856960. Its totient is φ = 78585413529600.

The previous prime is 212100001022017. The next prime is 212100001022123. The reversal of 212100001022120 is 21220100001212.

It is a junction number, because it is equal to n+sod(n) for n = 212100001022095 and 212100001022104.

It is not an unprimeable number, because it can be changed into a prime (212100001022123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223347 + ... + 20715773.

It is an arithmetic number, because the mean of its divisors is an integer number (4010591553570).

Almost surely, 2^{212100001022120} is an apocalyptic number.

212100001022120 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 212100001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256677859428480).

212100001022120 is an abundant number, since it is smaller than the sum of its proper divisors (301255717834840).

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

212100001022120 is a wasteful number, since it uses less digits than its factorization.

212100001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18492723 (or 18492719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100001022120 its reverse (21220100001212), we get a palindrome (233320101023332).

The spelling of 212100001022120 in words is "two hundred twelve trillion, one hundred billion, one million, twenty-two thousand, one hundred twenty".