211201011616 has 96 divisors (see below), whose sum is σ = 493144122240. Its totient is φ = 87116983296.

The previous prime is 211201011611. The next prime is 211201011647. The reversal of 211201011616 is 616110102112.

It is a happy number.

211201011616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211201011611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007951 + ... + 2110513.

It is an arithmetic number, because the mean of its divisors is an integer number (5136917940).

Almost surely, 2^211201011616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246572061120).

211201011616 is an abundant number, since it is smaller than the sum of its proper divisors (281943110624).

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

211201011616 is a wasteful number, since it uses less digits than its factorization.

211201011616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102926 (or 102918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 211201011616 its reverse (616110102112), we get a palindrome (827311113728).

The spelling of 211201011616 in words is "two hundred eleven billion, two hundred one million, eleven thousand, six hundred sixteen".