212112001100 has 72 divisors (see below), whose sum is σ = 470217695808. Its totient is φ = 83014617600.

The previous prime is 212112001093. The next prime is 212112001169. The reversal of 212112001100 is 1100211212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27354824 + ... + 27362576.

Almost surely, 2^212112001100 is an apocalyptic number.

212112001100 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 212112001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235108847904).

212112001100 is an abundant number, since it is smaller than the sum of its proper divisors (258105694708).

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

212112001100 is a wasteful number, since it uses less digits than its factorization.

212112001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212112001100 its reverse (1100211212), we get a palindrome (213212212312).

The spelling of 212112001100 in words is "two hundred twelve billion, one hundred twelve million, one thousand, one hundred".