201100212212120 has 128 divisors (see below), whose sum is σ = 506642896267200. Its totient is φ = 71328039315456.

The previous prime is 201100212212083. The next prime is 201100212212147. The reversal of 201100212212120 is 21212212001102.

201100212212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30875834 + ... + 36817353.

Almost surely, 2^{201100212212120} is an apocalyptic number.

201100212212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100212212120 is an abundant number, since it is smaller than the sum of its proper divisors (305542684055080).

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

201100212212120 is a wasteful number, since it uses less digits than its factorization.

201100212212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67693437 (or 67693433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201100212212120 its reverse (21212212001102), we get a palindrome (222312424213222).

The spelling of 201100212212120 in words is "two hundred one trillion, one hundred billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".