212215016100 has 144 divisors (see below), whose sum is σ = 623928066048. Its totient is φ = 55678508160.

The previous prime is 212215016089. The next prime is 212215016107. The reversal of 212215016100 is 1610512212.

It is not an unprimeable number, because it can be changed into a prime (212215016107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17822749 + ... + 17834651.

It is an arithmetic number, because the mean of its divisors is an integer number (4332833792).

Almost surely, 2^212215016100 is an apocalyptic number.

212215016100 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 212215016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311964033024).

212215016100 is an abundant number, since it is smaller than the sum of its proper divisors (411713049948).

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

212215016100 is a wasteful number, since it uses less digits than its factorization.

212215016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874 (or 12867 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 212215016100 its reverse (1610512212), we get a palindrome (213825528312).

The spelling of 212215016100 in words is "two hundred twelve billion, two hundred fifteen million, sixteen thousand, one hundred".