212101010111120 has 80 divisors (see below), whose sum is σ = 559019261519040. Its totient is φ = 74192418104832.

The previous prime is 212101010111093. The next prime is 212101010111173. The reversal of 212101010111120 is 21111010101212.

212101010111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 212101010111095 and 212101010111104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5366908634 + ... + 5366948153.

It is an arithmetic number, because the mean of its divisors is an integer number (6987740768988).

Almost surely, 2^{212101010111120} is an apocalyptic number.

212101010111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101010111120 is an abundant number, since it is smaller than the sum of its proper divisors (346918251407920).

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

212101010111120 is a wasteful number, since it uses less digits than its factorization.

212101010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10733856832 (or 10733856826 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212101010111120 its reverse (21111010101212), we get a palindrome (233212020212332).

The spelling of 212101010111120 in words is "two hundred twelve trillion, one hundred one billion, ten million, one hundred eleven thousand, one hundred twenty".