212102222100 has 144 divisors (see below), whose sum is σ = 650511989568. Its totient is φ = 53173647360.

The previous prime is 212102222039. The next prime is 212102222147. The reversal of 212102222100 is 1222201212.

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 212102222100.

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, 4602774 + ... + 4648626.

It is an arithmetic number, because the mean of its divisors is an integer number (4517444372).

Almost surely, 2^212102222100 is an apocalyptic number.

212102222100 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 212102222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325255994784).

212102222100 is an abundant number, since it is smaller than the sum of its proper divisors (438409767468).

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

212102222100 is a wasteful number, since it uses less digits than its factorization.

212102222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46794 (or 46787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212102222100 its reverse (1222201212), we get a palindrome (213324423312).

The spelling of 212102222100 in words is "two hundred twelve billion, one hundred two million, two hundred twenty-two thousand, one hundred".