212101112121100 has 144 divisors (see below), whose sum is σ = 466211098080000. Its totient is φ = 83748739680000.

The previous prime is 212101112120899. The next prime is 212101112121181. The reversal of 212101112121100 is 1121211101212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5196116491 + ... + 5196157309.

It is an arithmetic number, because the mean of its divisors is an integer number (3237577070000).

Almost surely, 2^{212101112121100} is an apocalyptic number.

212101112121100 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 212101112121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233105549040000).

212101112121100 is an abundant number, since it is smaller than the sum of its proper divisors (254109985958900).

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

212101112121100 is a wasteful number, since it uses less digits than its factorization.

212101112121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42464 (or 42457 counting only the distinct ones).

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

Adding to 212101112121100 its reverse (1121211101212), we get a palindrome (213222323222312).

It can be divided in two parts, 212101112 and 121100, that added together give a palindrome (212222212).

The spelling of 212101112121100 in words is "two hundred twelve trillion, one hundred one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".