212112110100 has 216 divisors, whose sum is σ = 686248514784. Its totient is φ = 50165632000.

The previous prime is 212112110081. The next prime is 212112110137. The reversal of 212112110100 is 1011211212.

212112110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5528182 + ... + 5566418.

Almost surely, 2^212112110100 is an apocalyptic number.

212112110100 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 212112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343124257392).

212112110100 is an abundant number, since it is smaller than the sum of its proper divisors (474136404684).

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

212112110100 is a wasteful number, since it uses less digits than its factorization.

212112110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38347 (or 38299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212112110100 its reverse (1011211212), we get a palindrome (213123321312).

The spelling of 212112110100 in words is "two hundred twelve billion, one hundred twelve million, one hundred ten thousand, one hundred".