212101120011120 has 40 divisors (see below), whose sum is σ = 657513472035216. Its totient is φ = 56560298669568.

The previous prime is 212101120011107. The next prime is 212101120011217. The reversal of 212101120011120 is 21110021101212.

It is a happy number.

212101120011120 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212101120011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441877333117 + ... + 441877333596.

Almost surely, 2^{212101120011120} is an apocalyptic number.

212101120011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101120011120 is an abundant number, since it is smaller than the sum of its proper divisors (445412352024096).

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

212101120011120 is a wasteful number, since it uses less digits than its factorization.

212101120011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883754666729 (or 883754666723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212101120011120 its reverse (21110021101212), we get a palindrome (233211141112332).

The spelling of 212101120011120 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty million, eleven thousand, one hundred twenty".