212013212100 has 144 divisors (see below), whose sum is σ = 628631098368. Its totient is φ = 55151775360.

The previous prime is 212013212087. The next prime is 212013212101. The reversal of 212013212100 is 1212310212.

212013212100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212013212100.

It is not an unprimeable number, because it can be changed into a prime (212013212101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2019097 + ... + 2121503.

Almost surely, 2^212013212100 is an apocalyptic number.

212013212100 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 212013212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314315549184).

212013212100 is an abundant number, since it is smaller than the sum of its proper divisors (416617886268).

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

212013212100 is a wasteful number, since it uses less digits than its factorization.

212013212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102594 (or 102587 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212013212100 its reverse (1212310212), we get a palindrome (213225522312).

The spelling of 212013212100 in words is "two hundred twelve billion, thirteen million, two hundred twelve thousand, one hundred".