212113022100 has 144 divisors (see below), whose sum is σ = 702272635008. Its totient is φ = 48421762560.

The previous prime is 212113022059. The next prime is 212113022117. The reversal of 212113022100 is 1220311212.

212113022100 is digitally balanced in base 3, 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 212113022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1610334 + ... + 1737066.

Almost surely, 2^212113022100 is an apocalyptic number.

212113022100 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 212113022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351136317504).

212113022100 is an abundant number, since it is smaller than the sum of its proper divisors (490159612908).

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

212113022100 is a wasteful number, since it uses less digits than its factorization.

212113022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127554 (or 127547 counting only the distinct ones).

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

Adding to 212113022100 its reverse (1220311212), we get a palindrome (213333333312).

The spelling of 212113022100 in words is "two hundred twelve billion, one hundred thirteen million, twenty-two thousand, one hundred".