212100021100 has 72 divisors (see below), whose sum is σ = 502710824448. Its totient is φ = 77033236800.

The previous prime is 212100021097. The next prime is 212100021137. The reversal of 212100021100 is 1120001212.

212100021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788157 + ... + 1022443.

It is an arithmetic number, because the mean of its divisors is an integer number (6982094784).

Almost surely, 2^212100021100 is an apocalyptic number.

212100021100 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 212100021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251355412224).

212100021100 is an abundant number, since it is smaller than the sum of its proper divisors (290610803348).

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

212100021100 is a wasteful number, since it uses less digits than its factorization.

212100021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235135 (or 235128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212100021100 its reverse (1120001212), we get a palindrome (213220022312).

The spelling of 212100021100 in words is "two hundred twelve billion, one hundred million, twenty-one thousand, one hundred".