212101111211120 has 40 divisors (see below), whose sum is σ = 493178683502400. Its totient is φ = 84832943420160.

The previous prime is 212101111211071. The next prime is 212101111211167. The reversal of 212101111211120 is 21112111101212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 116293595 + ... + 118103354.

It is an arithmetic number, because the mean of its divisors is an integer number (12329467087560).

Almost surely, 2^{212101111211120} is an apocalyptic number.

212101111211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101111211120 is an abundant number, since it is smaller than the sum of its proper divisors (281077572291280).

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

212101111211120 is a wasteful number, since it uses less digits than its factorization.

212101111211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234408273 (or 234408267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 212101111211120 its reverse (21112111101212), we get a palindrome (233213222312332).

The spelling of 212101111211120 in words is "two hundred twelve trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".