201110462112 has 96 divisors (see below), whose sum is σ = 604676016000. Its totient is φ = 57332072448.

The previous prime is 201110462083. The next prime is 201110462129. The reversal of 201110462112 is 211264011102.

201110462112 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 31537 + ... + 634992.

It is an arithmetic number, because the mean of its divisors is an integer number (6298708500).

Almost surely, 2^201110462112 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 201110462112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302338008000).

201110462112 is an abundant number, since it is smaller than the sum of its proper divisors (403565553888).

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

201110462112 is a wasteful number, since it uses less digits than its factorization.

201110462112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666998 (or 666990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 201110462112 its reverse (211264011102), we get a palindrome (412374473214).

The spelling of 201110462112 in words is "two hundred one billion, one hundred ten million, four hundred sixty-two thousand, one hundred twelve".