212212100100 has 864 divisors, whose sum is σ = 872854133760. Its totient is φ = 38548224000.

The previous prime is 212212100063. The next prime is 212212100141. The reversal of 212212100100 is 1001212212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74172670 + ... + 74175530.

It is an arithmetic number, because the mean of its divisors is an integer number (1010247840).

Almost surely, 2^212212100100 is an apocalyptic number.

212212100100 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 212212100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436427066880).

212212100100 is an abundant number, since it is smaller than the sum of its proper divisors (660642033660).

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

212212100100 is a wasteful number, since it uses less digits than its factorization.

212212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212212100100 its reverse (1001212212), we get a palindrome (213213312312).

The spelling of 212212100100 in words is "two hundred twelve billion, two hundred twelve million, one hundred thousand, one hundred".