212020022100 has 144 divisors (see below), whose sum is σ = 631009612800. Its totient is φ = 54937115520.

The previous prime is 212020022059. The next prime is 212020022107. The reversal of 212020022100 is 1220020212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905811 + ... + 2013989.

It is an arithmetic number, because the mean of its divisors is an integer number (4382011200).

Almost surely, 2^212020022100 is an apocalyptic number.

212020022100 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 212020022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315504806400).

212020022100 is an abundant number, since it is smaller than the sum of its proper divisors (418989590700).

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

212020022100 is a wasteful number, since it uses less digits than its factorization.

212020022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108382 (or 108375 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212020022100 its reverse (1220020212), we get a palindrome (213240042312).

The spelling of 212020022100 in words is "two hundred twelve billion, twenty million, twenty-two thousand, one hundred".